एक वर्ग की भुजा (a+b) है। क्षेत्रफल मॉडल में चार भाग \(a^2\), (ab), (ab) और \(b^2\) दिखते हैं। कौन-सी सर्वसमिका मिलती है?
A square has side (a+b). In the area model four parts \(a^2\), (ab), (ab) and \(b^2\) are shown. Which identity is obtained?
#algebraic-identities
#area-model
#square
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A ( (a+b)2 =a-2 +2ab+b-2 )
B ( (a-b)2 =a-2 -2ab+b-2 )
C ( (a+b)2 =a-2 +b-2 )
D ( (a+b)2 =2a-2 +2b-2 )
Explanation opens after your attempt
Correct Answer
A. ( (a+b)2 =a-2 +2ab+b-2 )
Step 1
Concept
Two (ab) rectangles combine to make (2ab). In exams, remember to add equal parts.
Step 2
Why this answer is correct
The correct answer is A. ( (a+b)2 =a-2 +2ab+b-2 ). Two (ab) rectangles combine to make (2ab). In exams, remember to add equal parts.
Step 3
Exam Tip
दो (ab) आयत मिलकर (2ab) बनाते हैं। परीक्षा में समान भागों को जोड़ना न भूलें।
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एक बड़े वर्ग \(a^2\) से दो (ab) आयत हटाए जाते हैं और \(b^2\) छोटा वर्ग वापस जोड़ा जाता है। यह किसका दृश्य मॉडल है?
From a large square \(a^2\), two (ab) rectangles are removed and a small square \(b^2\) is added back. This is the visual model of which identity?
#algebraic-identities
#visual-model
#subtraction
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A ( (a+b)2 )
B ( (a-b)2 )
C \( a^2-b^2 \)
D \( 2ab+b^2 \)
Explanation opens after your attempt
Correct Answer
B. ( (a-b)2 )
Step 1
Concept
The removed parts give (-2ab). In exams, watch signs in subtraction models.
Step 2
Why this answer is correct
The correct answer is B. ( (a-b)2 ). The removed parts give (-2ab). In exams, watch signs in subtraction models.
Step 3
Exam Tip
हटाए गए भागों के कारण (-2ab) आता है। परीक्षा में घटाव वाले मॉडल में चिन्हों पर ध्यान दें।
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एक आयत की लंबाई (a+b) और चौड़ाई (a-b) है। क्षेत्रफल मॉडल में कौन-सा परिणाम दिखता है?
A rectangle has length (a+b) and breadth (a-b). What result is shown by the area model?
#algebraic-identities
#difference-of-squares
#rectangle
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A \( a^2+2ab+b^2 \)
B \( a^2-b^2 \)
C \( a^2+ab-b^2 \)
D \( a^2-2ab+b^2 \)
Explanation opens after your attempt
Correct Answer
B. \( a^2-b^2 \)
Step 1
Concept
Opposite (ab) parts cancel and \(a^2-b^2\) remains. In exams, identify cancelling parts.
Step 2
Why this answer is correct
The correct answer is B. \( a^2-b^2 \). Opposite (ab) parts cancel and \(a^2-b^2\) remains. In exams, identify cancelling parts.
Step 3
Exam Tip
विपरीत (ab) भाग कट जाते हैं और \(a^2-b^2\) बचता है। परीक्षा में कटने वाले भाग पहचानें।
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यदि (x+4) भुजा वाले वर्ग को \(x^2\), (4x), (4x) और (16) भागों में बाँटा जाए तो कुल क्षेत्रफल क्या होगा?
If a square of side (x+4) is divided into \(x^2\), (4x), (4x) and (16) parts, what is its total area?
#area-model
#identity-expansion
#class-9
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A \( x^2+4x+16 \)
B \( x^2+8x+16 \)
C \( x^2+16x+8 \)
D \( x^2+8x+8 \)
Explanation opens after your attempt
Correct Answer
B. \( x^2+8x+16 \)
Step 1
Concept
The two (4x) parts make (8x). In exams, add both rectangular parts.
Step 2
Why this answer is correct
The correct answer is B. \( x^2+8x+16 \). The two (4x) parts make (8x). In exams, add both rectangular parts.
Step 3
Exam Tip
दो (4x) भाग मिलकर (8x) बनाते हैं। परीक्षा में दोनों आयतों का क्षेत्रफल जोड़ें।
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एक दृश्य मॉडल में (p+3) भुजा का वर्ग है। कोनों और पट्टियों से कौन-सा विस्तार बनेगा?
A visual model shows a square of side (p+3). Which expansion is formed by its corner square and strips?
#visual-algebra
#square-model
#expansion
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A \( p^2+3p+9 \)
B \( p^2+6p+9 \)
C \( p^2+9p+6 \)
D \( p^2+6p+3 \)
Explanation opens after your attempt
Correct Answer
B. \( p^2+6p+9 \)
Step 1
Concept
The two strips have total area (6p) and the small square is (9). In exams, write ((3)2 ) as (9).
Step 2
Why this answer is correct
The correct answer is B. \( p^2+6p+9 \). The two strips have total area (6p) and the small square is (9). In exams, write ((3)2 ) as (9).
Step 3
Exam Tip
दो पट्टियों का कुल क्षेत्रफल (6p) है और छोटा वर्ग (9) है। परीक्षा में ((3)2 ) को (9) लिखें।
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एक (y+5) भुजा वाले वर्ग में मध्य वर्ग \(y^2\) है। शेष दो समान पट्टियाँ और कोना मिलाकर पहचान चुनिए।
In a square of side (y+5), the middle square is \(y^2\). Choose the identity using the two equal strips and corner.
#identity
#square-area
#visual-model
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A ( (y+5)2 =y-2 +10y+25 )
B ( (y+5)2 =y-2 +5y+25 )
C ( (y+5)2 =y-2 +25y+10 )
D ( (y+5)2 =y-2 +10y+5 )
Explanation opens after your attempt
Correct Answer
A. ( (y+5)2 =y-2 +10y+25 )
Step 1
Concept
The two strips are (5y+5y), so (10y) appears. In exams, keep the small square area as (25).
Step 2
Why this answer is correct
The correct answer is A. ( (y+5)2 =y-2 +10y+25 ). The two strips are (5y+5y), so (10y) appears. In exams, keep the small square area as (25).
Step 3
Exam Tip
दो पट्टियाँ (5y+5y) हैं इसलिए (10y) आता है। परीक्षा में छोटे वर्ग का क्षेत्रफल (25) रखें।
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एक वर्ग की भुजा (m-2 ) है। \(m^2\) मॉडल से किन भागों को घटाने और जोड़ने पर सही क्षेत्रफल मिलता है?
A square has side (m-2 ). Which parts must be subtracted and added from the \(m^2\) model to get the correct area?
#subtraction-model
#identity
#area
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A घटाएँ (2m), जोड़ें (4) / Subtract (2m), add (4)
B घटाएँ (4m), जोड़ें (4) / Subtract (4m), add (4)
C घटाएँ (4), जोड़ें (4m) / Subtract (4), add (4m)
D घटाएँ (2m), जोड़ें (2) / Subtract (2m), add (2)
Explanation opens after your attempt
Correct Answer
B. घटाएँ (4m), जोड़ें (4) / Subtract (4m), add (4)
Step 1
Concept
Two (2m) strips are subtracted, so total (4m) is subtracted. In exams, add back the corner square.
Step 2
Why this answer is correct
The correct answer is B. घटाएँ (4m), जोड़ें (4) / Subtract (4m), add (4). Two (2m) strips are subtracted, so total (4m) is subtracted. In exams, add back the corner square.
Step 3
Exam Tip
दो (2m) पट्टियाँ घटती हैं इसलिए कुल (4m) घटता है। परीक्षा में कोने का छोटा वर्ग वापस जोड़ें।
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यदि (z-7) भुजा वाले वर्ग का दृश्य मॉडल बनाया जाए तो विस्तार क्या होगा?
If a visual model is made for a square of side (z-7), what will be the expansion?
#algebraic-identities
#minus-square
#visual
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A \( z^2-7z+49 \)
B \( z^2-14z+49 \)
C \( z^2+14z+49 \)
D \( z^2-49z+14 \)
Explanation opens after your attempt
Correct Answer
B. \( z^2-14z+49 \)
Step 1
Concept
In ((z-7)2 ), the middle term is \(-2\cdot z\cdot7\). In exams, count the two removed strips.
Step 2
Why this answer is correct
The correct answer is B. \( z^2-14z+49 \). In ((z-7)2 ), the middle term is \(-2\cdot z\cdot7\). In exams, count the two removed strips.
Step 3
Exam Tip
((z-7)2 ) में बीच का पद \(-2\cdot z\cdot7\) होता है। परीक्षा में दो हटाई गई पट्टियों को गिनें।
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एक आयत की लंबाई (r+6) और चौड़ाई (r+2) है। क्षेत्रफल मॉडल से कौन-सा विस्तार मिलता है?
A rectangle has length (r+6) and breadth (r+2). Which expansion is obtained from the area model?
#rectangle-model
#product-identity
#algebra
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A \( r^2+8r+12 \)
B \( r^2+12r+8 \)
C \( r^2+4r+12 \)
D \( r^2+8r+8 \)
Explanation opens after your attempt
Correct Answer
A. \( r^2+8r+12 \)
Step 1
Concept
The rectangle parts are \(r^2\), (6r), (2r) and (12). In exams, combine (6r+2r) as (8r).
Step 2
Why this answer is correct
The correct answer is A. \( r^2+8r+12 \). The rectangle parts are \(r^2\), (6r), (2r) and (12). In exams, combine (6r+2r) as (8r).
Step 3
Exam Tip
आयत के भाग \(r^2\), (6r), (2r) और (12) हैं। परीक्षा में (6r+2r) को (8r) करें।
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एक क्षेत्रफल मॉडल में आयत (s+3) और (s+8) से बना है। स्थिर भाग किससे बनेगा?
In an area model, a rectangle is formed by (s+3) and (s+8). From what is the constant part formed?
#constant-term
#area-model
#identity
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A ( 3+8 )
B \( 3\times8 \)
C \( s\times3 \)
D \( s\times8 \)
Explanation opens after your attempt
Correct Answer
B. \( 3\times8 \)
Step 1
Concept
The constant corner area is \(3\times8=24\). In exams, multiply the constant parts.
Step 2
Why this answer is correct
The correct answer is B. \( 3\times8 \). The constant corner area is \(3\times8=24\). In exams, multiply the constant parts.
Step 3
Exam Tip
स्थिर कोने का क्षेत्रफल \(3\times8=24\) होता है। परीक्षा में स्थिर भागों को गुणा करें।
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यदि (a+2) और (a+9) वाली आयत को चार भागों में बाँटा जाए तो मध्य पद क्या होगा?
If a rectangle with sides (a+2) and (a+9) is divided into four parts, what will be the middle term?
#middle-term
#rectangle
#visual-model
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A ( 11a )
B ( 18a )
C ( 7a )
D \( 2a^2 \)
Explanation opens after your attempt
Correct Answer
A. ( 11a )
Step 1
Concept
The middle term is (2a+9a=11a). In exams, add both linear parts.
Step 2
Why this answer is correct
The correct answer is A. ( 11a ). The middle term is (2a+9a=11a). In exams, add both linear parts.
Step 3
Exam Tip
मध्य पद (2a+9a=11a) है। परीक्षा में दोनों रैखिक भाग जोड़ें।
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एक (n+4) और (n-4) आयत का दृश्य मॉडल बनाया गया। कौन-से भाग कट जाते हैं?
A visual model of a rectangle (n+4) by (n-4) is made. Which parts cancel?
#difference-of-squares
#cancellation
#visual
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A \( n^2 \) और (16) / \( n^2 \) and (16)
B ( 4n ) और (-4n) / ( 4n ) and (-4n)
C ( 4n ) और (16) / ( 4n ) and (16)
D ( -4n ) और (16) / ( -4n ) and (16)
Explanation opens after your attempt
Correct Answer
B. ( 4n ) और (-4n) / ( 4n ) and (-4n)
Step 1
Concept
One (4n) positive part and one (-4n) negative part cancel. In exams, identify equal terms with opposite signs.
Step 2
Why this answer is correct
The correct answer is B. ( 4n ) और (-4n) / ( 4n ) and (-4n). One (4n) positive part and one (-4n) negative part cancel. In exams, identify equal terms with opposite signs.
Step 3
Exam Tip
एक (4n) धनात्मक और एक (-4n) ऋणात्मक भाग बराबर होकर कटते हैं। परीक्षा में विपरीत चिन्ह वाले समान पद पहचानें।
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(t+5) और (t-5) के आयत मॉडल में अंतिम क्षेत्रफल क्या होगा?
What will be the final area in the rectangle model of (t+5) and (t-5)?
#visual-identity
#difference-of-squares
#class-9
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A \( t^2+25 \)
B \( t^2-10t+25 \)
C \( t^2-25 \)
D \( t^2+10t+25 \)
Explanation opens after your attempt
Correct Answer
C. \( t^2-25 \)
Step 1
Concept
This is the model of ( (t+5)(t-5)=t-2 -25 ). In exams, connect it with difference of squares.
Step 2
Why this answer is correct
The correct answer is C. \( t^2-25 \). This is the model of ( (t+5)(t-5)=t-2 -25 ). In exams, connect it with difference of squares.
Step 3
Exam Tip
यह ( (t+5)(t-5)=t-2 -25 ) का मॉडल है। परीक्षा में इसे वर्गों के अंतर से जोड़ें।
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एक ग्रिड में \(x^2\) का बड़ा वर्ग, (3x) और (4x) की दो पट्टियाँ तथा (12) का कोना है। पूरा आयत किसके बराबर है?
A grid has a large square \(x^2\), two strips (3x) and (4x), and a corner (12). What is the whole rectangle equal to?
#grid-model
#factor-form
#area
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A ( (x+3)(x+4) )
B ( (x+7)2 )
C ( (x+12)(x+1) )
D ( (x-3)(x-4) )
Explanation opens after your attempt
Correct Answer
A. ( (x+3)(x+4) )
Step 1
Concept
The parts \(x^2+3x+4x+12\) form ((x+3)(x+4)). In exams, identify sides from strip measures.
Step 2
Why this answer is correct
The correct answer is A. ( (x+3)(x+4) ). The parts \(x^2+3x+4x+12\) form ((x+3)(x+4)). In exams, identify sides from strip measures.
Step 3
Exam Tip
भाग \(x^2+3x+4x+12\) से ((x+3)(x+4)) बनता है। परीक्षा में पट्टियों के माप से भुजाएँ पहचानें।
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क्षेत्रफल टाइलों में \(u^2\), (5u), (2u) और (10) रखे हैं। कौन-सा गुणनफल सही है?
Area tiles show \(u^2\), (5u), (2u) and (10). Which product is correct?
#area-tiles
#factorisation
#visual
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A ( (u+5)(u+2) )
B ( (u+10)(u+7) )
C ( (u+5)2 )
D ( (u-5)(u-2) )
Explanation opens after your attempt
Correct Answer
A. ( (u+5)(u+2) )
Step 1
Concept
The (5u) and (2u) strips show sides (u+5) and (u+2). In exams, verify the corner (10).
Step 2
Why this answer is correct
The correct answer is A. ( (u+5)(u+2) ). The (5u) and (2u) strips show sides (u+5) and (u+2). In exams, verify the corner (10).
Step 3
Exam Tip
(5u) और (2u) पट्टियाँ भुजाओं (u+5) और (u+2) को दिखाती हैं। परीक्षा में कोने का (10) जाँचें।
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यदि (q+1) और (q+6) आयत मॉडल में भाग बने हैं, तो कुल क्षेत्रफल का सरल रूप क्या है?
If parts are made in a rectangle model of (q+1) and (q+6), what is the simplified total area?
#rectangle-expansion
#like-terms
#visual
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A \( q^2+7q+6 \)
B \( q^2+6q+7 \)
C \( q^2+5q+6 \)
D \( q^2+7q+1 \)
Explanation opens after your attempt
Correct Answer
A. \( q^2+7q+6 \)
Step 1
Concept
The parts \(q^2\), (q), (6q) and (6) combine. In exams, add like (q) terms.
Step 2
Why this answer is correct
The correct answer is A. \( q^2+7q+6 \). The parts \(q^2\), (q), (6q) and (6) combine. In exams, add like (q) terms.
Step 3
Exam Tip
भाग \(q^2\), (q), (6q) और (6) मिलते हैं। परीक्षा में समान (q) पद जोड़ें।
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एक (2x+3) भुजा वाले वर्ग का क्षेत्रफल मॉडल बनाया गया। सही विस्तार कौन-सा है?
An area model is made for a square of side (2x+3). Which expansion is correct?
#binomial-square
#visual-model
#medium
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A \( 4x^2+6x+9 \)
B \( 4x^2+12x+9 \)
C \( 2x^2+12x+9 \)
D \( 4x^2+12x+3 \)
Explanation opens after your attempt
Correct Answer
B. \( 4x^2+12x+9 \)
Step 1
Concept
((2x)2 =4x-2 ) and two strips give (6x+6x=12x). In exams, square (2x) correctly.
Step 2
Why this answer is correct
The correct answer is B. \( 4x^2+12x+9 \). ((2x)2 =4x-2 ) and two strips give (6x+6x=12x). In exams, square (2x) correctly.
Step 3
Exam Tip
((2x)2 =4x-2 ) और दो पट्टियाँ (6x+6x=12x) देती हैं। परीक्षा में (2x) का वर्ग सही करें।
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एक वर्ग की भुजा (3a+2) है। क्षेत्रफल मॉडल में बीच का कुल पट्टी क्षेत्रफल कितना होगा?
A square has side (3a+2). In the area model, what will be the total middle strip area?
#middle-term
#square-model
#algebra
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A ( 6a )
B ( 12a )
C \( 9a^2 \)
D ( 4a )
Explanation opens after your attempt
Correct Answer
B. ( 12a )
Step 1
Concept
The middle part is \(2\cdot3a\cdot2=12a\). In exams, double with coefficients included.
Step 2
Why this answer is correct
The correct answer is B. ( 12a ). The middle part is \(2\cdot3a\cdot2=12a\). In exams, double with coefficients included.
Step 3
Exam Tip
बीच का भाग \(2\cdot3a\cdot2=12a\) है। परीक्षा में गुणांक सहित दो गुना करें।
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(2p+5) भुजा वाले वर्ग में छोटे स्थिर कोने का क्षेत्रफल क्या होगा?
In a square of side (2p+5), what will be the area of the small constant corner?
#constant-square
#visual-model
#identity
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A ( 5 )
B ( 10p )
C ( 25 )
D \( 4p^2 \)
Explanation opens after your attempt
Step 1
Concept
The constant corner is \(5\times5=25\). In exams, square the constant number.
Step 2
Why this answer is correct
The correct answer is C. ( 25 ). The constant corner is \(5\times5=25\). In exams, square the constant number.
Step 3
Exam Tip
स्थिर कोना \(5\times5=25\) है। परीक्षा में स्थिर संख्या का वर्ग लें।
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एक मॉडल में \(4r^2\), (20r) और (25) कुल क्षेत्रफल है। यह किस वर्ग की भुजा से बन सकता है?
A model has total area \(4r^2\), (20r) and (25). It can be formed from a square with which side?
#reverse-model
#square-identity
#visual
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A ( 2r+5 )
B ( 4r+5 )
C ( 2r+25 )
D ( r+10 )
Explanation opens after your attempt
Correct Answer
A. ( 2r+5 )
Step 1
Concept
(4r-2 =(2r)2 ) and \(25=5^2\), and the middle term is also (20r). In exams, find the side using square roots.
Step 2
Why this answer is correct
The correct answer is A. ( 2r+5 ). (4r-2 =(2r)2 ) and \(25=5^2\), and the middle term is also (20r). In exams, find the side using square roots.
Step 3
Exam Tip
(4r-2 =(2r)2 ) और \(25=5^2\), बीच का पद भी (20r) है। परीक्षा में वर्गमूल से भुजा खोजें।
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यदि किसी वर्ग मॉडल का क्षेत्रफल \(9x^2+24x+16\) है, तो उसकी भुजा क्या होगी?
If the area of a square model is \(9x^2+24x+16\), what will be its side?
#perfect-square
#area-model
#factor
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A ( 3x+4 )
B ( 9x+4 )
C ( 3x+8 )
D ( x+12 )
Explanation opens after your attempt
Correct Answer
A. ( 3x+4 )
Step 1
Concept
(9x-2 =(3x)2 ) and \(16=4^2\), with middle term \(2\cdot3x\cdot4=24x\). In exams, identify perfect squares.
Step 2
Why this answer is correct
The correct answer is A. ( 3x+4 ). (9x-2 =(3x)2 ) and \(16=4^2\), with middle term \(2\cdot3x\cdot4=24x\). In exams, identify perfect squares.
Step 3
Exam Tip
(9x-2 =(3x)2 ) और \(16=4^2\), बीच का पद \(2\cdot3x\cdot4=24x\) है। परीक्षा में पूर्ण वर्ग पहचानें।
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एक (5y-1) भुजा वाले वर्ग के दृश्य मॉडल में कौन-सा विस्तार सही है?
Which expansion is correct in the visual model of a square with side (5y-1)?
#minus-binomial
#visual-square
#identity
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A \( 25y^2-10y+1 \)
B \( 25y^2-5y+1 \)
C \( 5y^2-10y+1 \)
D \( 25y^2+10y+1 \)
Explanation opens after your attempt
Correct Answer
A. \( 25y^2-10y+1 \)
Step 1
Concept
The middle term is \(-2\cdot5y\cdot1=-10y\). In exams, count the negative sign in both strips.
Step 2
Why this answer is correct
The correct answer is A. \( 25y^2-10y+1 \). The middle term is \(-2\cdot5y\cdot1=-10y\). In exams, count the negative sign in both strips.
Step 3
Exam Tip
बीच का पद \(-2\cdot5y\cdot1=-10y\) है। परीक्षा में ऋण चिन्ह को दोनों पट्टियों में गिनें।
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एक बड़ा वर्ग \(25k^2\) है। उससे दो (15k) पट्टियाँ घटाकर (9) जोड़ा जाता है। कौन-सा वर्ग बनता है?
A large square \(25k^2\) is shown. Two (15k) strips are subtracted and (9) is added. Which square is formed?
#reverse-subtraction
#visual-identity
#square
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A ( (5k-3)2 )
B ( (5k+3)2 )
C ( (25k-3)2 )
D ( (5k-9)2 )
Explanation opens after your attempt
Correct Answer
A. ( (5k-3)2 )
Step 1
Concept
(25k-2 =(5k)2 ) and \(9=3^2\), so the side is (5k-3). In exams, identify the minus sign from removed strips.
Step 2
Why this answer is correct
The correct answer is A. ( (5k-3)2 ). (25k-2 =(5k)2 ) and \(9=3^2\), so the side is (5k-3). In exams, identify the minus sign from removed strips.
Step 3
Exam Tip
(25k-2 =(5k)2 ) और \(9=3^2\), इसलिए भुजा (5k-3) है। परीक्षा में घटाई गई पट्टियों से ऋण चिन्ह पहचानें।
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एक आयत मॉडल में लंबाई (2a+3) और चौड़ाई (2a-3) है। क्षेत्रफल क्या होगा?
In a rectangle model, the length is (2a+3) and breadth is (2a-3). What will be the area?
#difference-of-squares
#rectangle-model
#algebra
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A \( 4a^2+9 \)
B \( 4a^2-9 \)
C \( 2a^2-9 \)
D \( 4a^2-12a+9 \)
Explanation opens after your attempt
Correct Answer
B. \( 4a^2-9 \)
Step 1
Concept
This is ((2a+3)(2a-3)=(2a)2 -32 ). In exams, apply the difference of squares formula.
Step 2
Why this answer is correct
The correct answer is B. \( 4a^2-9 \). This is ((2a+3)(2a-3)=(2a)2 -32 ). In exams, apply the difference of squares formula.
Step 3
Exam Tip
यह ((2a+3)(2a-3)=(2a)2 -32 ) है। परीक्षा में वर्गों के अंतर का सूत्र लगाएँ।
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(3m+7) और (3m-7) से बने आयत के मॉडल में कौन-सा पद नहीं रहेगा?
In the rectangle model formed by (3m+7) and (3m-7), which term will not remain?
#cancellation
#visual-rectangle
#identity
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A \( 9m^2 \)
B ( 49 )
C ( 21m )
D ( -49 )
Explanation opens after your attempt
Correct Answer
C. ( 21m )
Step 1
Concept
(21m) and (-21m) cancel each other. In exams, check opposite signs of equal linear terms.
Step 2
Why this answer is correct
The correct answer is C. ( 21m ). (21m) and (-21m) cancel each other. In exams, check opposite signs of equal linear terms.
Step 3
Exam Tip
(21m) और (-21m) आपस में कट जाते हैं। परीक्षा में समान रैखिक पदों के विपरीत चिन्ह देखें।
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एक आयत की लंबाई (x+10) और चौड़ाई (x-10) है। दृश्य मॉडल किस स्थिर पद को घटाता है?
A rectangle has length (x+10) and breadth (x-10). Which constant term is subtracted by the visual model?
#constant-term
#difference-of-squares
#visual
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A ( 10 )
B ( 20 )
C ( 100 )
D ( 10x )
Explanation opens after your attempt
Correct Answer
C. ( 100 )
Step 1
Concept
In difference of squares, \(10^2=100\) is subtracted. In exams, do not forget to square the constant.
Step 2
Why this answer is correct
The correct answer is C. ( 100 ). In difference of squares, \(10^2=100\) is subtracted. In exams, do not forget to square the constant.
Step 3
Exam Tip
वर्गों के अंतर में \(10^2=100\) घटता है। परीक्षा में स्थिर संख्या का वर्ग करना न भूलें।
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एक टाइल मॉडल में \(x^2+9x+20\) क्षेत्रफल है। इसे आयत की भुजाओं के रूप में कैसे दिखाया जा सकता है?
A tile model has area \(x^2+9x+20\). How can it be shown as sides of a rectangle?
#factorisation
#area-tiles
#visual-model
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A ( (x+4)(x+5) )
B ( (x+2)(x+10) )
C ( (x+1)(x+20) )
D ( (x+9)(x+20) )
Explanation opens after your attempt
Correct Answer
A. ( (x+4)(x+5) )
Step 1
Concept
(4+5=9) and \(4\times5=20\), so the sides are (x+4) and (x+5). In exams, check both sum and product.
Step 2
Why this answer is correct
The correct answer is A. ( (x+4)(x+5) ). (4+5=9) and \(4\times5=20\), so the sides are (x+4) and (x+5). In exams, check both sum and product.
Step 3
Exam Tip
(4+5=9) और \(4\times5=20\) है, इसलिए भुजाएँ (x+4) और (x+5) हैं। परीक्षा में योग और गुणनफल दोनों जाँचें।
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क्षेत्रफल मॉडल \(v^2+13v+36\) को आयत में बदलना है। सही भुजाएँ कौन-सी होंगी?
The area model \(v^2+13v+36\) must be changed into a rectangle. Which sides are correct?
#visual-factorisation
#rectangle
#splitting
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A ( v+3 ) और ( v+12 ) / ( v+3 ) and ( v+12 )
B ( v+4 ) और ( v+9 ) / ( v+4 ) and ( v+9 )
C ( v+6 ) और ( v+6 ) / ( v+6 ) and ( v+6 )
D ( v+2 ) और ( v+18 ) / ( v+2 ) and ( v+18 )
Explanation opens after your attempt
Correct Answer
B. ( v+4 ) और ( v+9 ) / ( v+4 ) and ( v+9 )
Step 1
Concept
(4+9=13) and \(4\times9=36\). In exams, choose both constant parts correctly.
Step 2
Why this answer is correct
The correct answer is B. ( v+4 ) और ( v+9 ) / ( v+4 ) and ( v+9 ). (4+9=13) and \(4\times9=36\). In exams, choose both constant parts correctly.
Step 3
Exam Tip
(4+9=13) और \(4\times9=36\) है। परीक्षा में आयत के दोनों स्थिर भाग सही चुनें।
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एक मॉडल में \(x^2+12x+36\) टाइलें हैं। यह किस आकृति को सबसे सीधे दिखाता है?
A model has tiles \(x^2+12x+36\). Which shape does it most directly show?
#perfect-square-trinomial
#tiles
#visual
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A ( x+6 ) भुजा वाला वर्ग / Square of side (x+6)
B ( x+12 ) भुजा वाला वर्ग / Square of side (x+12)
C ( x+3 ) और ( x+12 ) आयत / Rectangle (x+3) by (x+12)
D ( x+4 ) और ( x+9 ) आयत / Rectangle (x+4) by (x+9)
Explanation opens after your attempt
Correct Answer
A. ( x+6 ) भुजा वाला वर्ग / Square of side (x+6)
Step 1
Concept
\(36=6^2\) and \(12x=2\cdot x\cdot6\). In exams, identify a perfect square trinomial by square model.
Step 2
Why this answer is correct
The correct answer is A. ( x+6 ) भुजा वाला वर्ग / Square of side (x+6). \(36=6^2\) and \(12x=2\cdot x\cdot6\). In exams, identify a perfect square trinomial by square model.
Step 3
Exam Tip
\(36=6^2\) और \(12x=2\cdot x\cdot6\) है। परीक्षा में पूर्ण वर्ग त्रिपद को वर्ग मॉडल से पहचानें।
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यदि \(a^2-8a+16\) को दृश्य रूप में वर्ग बनाना हो, तो वर्ग की भुजा क्या होगी?
If \(a^2-8a+16\) is to be shown visually as a square, what will be the side of the square?
#perfect-square
#minus-model
#area
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A ( a+4 )
B ( a-4 )
C ( a-8 )
D ( a+8 )
Explanation opens after your attempt
Correct Answer
B. ( a-4 )
Step 1
Concept
\(16=4^2\) and \(-8a=-2\cdot a\cdot4\). In exams, identify the subtractive side from the negative middle term.
Step 2
Why this answer is correct
The correct answer is B. ( a-4 ). \(16=4^2\) and \(-8a=-2\cdot a\cdot4\). In exams, identify the subtractive side from the negative middle term.
Step 3
Exam Tip
\(16=4^2\) और \(-8a=-2\cdot a\cdot4\) है। परीक्षा में ऋण मध्य पद से घटाव वाली भुजा पहचानें।
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एक (b+6) भुजा वाले वर्ग में यदि \(b^2\) बड़ा भाग है, तो दो आयतों का कुल क्षेत्रफल कितना है?
In a square of side (b+6), if \(b^2\) is the large part, what is the total area of the two rectangles?
#strips
#square-model
#identity
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A ( 6b )
B ( 12b )
C ( 36b )
D \( b^2+36 \)
Explanation opens after your attempt
Correct Answer
B. ( 12b )
Step 1
Concept
Both rectangles are (6b) and (6b), so the total is (12b). In exams, add strips from both sides.
Step 2
Why this answer is correct
The correct answer is B. ( 12b ). Both rectangles are (6b) and (6b), so the total is (12b). In exams, add strips from both sides.
Step 3
Exam Tip
दोनों आयत (6b) और (6b) हैं इसलिए कुल (12b) है। परीक्षा में दोनों तरफ की पट्टियाँ जोड़ें।
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एक दृश्य मॉडल में \(c^2\) वर्ग के साथ दो (9c) पट्टियाँ और (81) कोना है। पूरे वर्ग की भुजा क्या है?
A visual model has a \(c^2\) square, two (9c) strips and an (81) corner. What is the side of the whole square?
#reverse-square
#visual-model
#algebra
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A ( c+9 )
B ( c+18 )
C ( 9c+1 )
D ( c-9 )
Explanation opens after your attempt
Correct Answer
A. ( c+9 )
Step 1
Concept
The corner \(81=9^2\) and the strips are (9c). In exams, identify the added number from the corner.
Step 2
Why this answer is correct
The correct answer is A. ( c+9 ). The corner \(81=9^2\) and the strips are (9c). In exams, identify the added number from the corner.
Step 3
Exam Tip
कोना \(81=9^2\) है और पट्टियाँ (9c) की हैं। परीक्षा में कोने से जोड़ी गई संख्या पहचानें।
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यदि \(4x^2\) वर्ग के दोनों ओर (14x) की कुल पट्टियाँ हैं और कोना (49) है, तो वर्ग की भुजा कौन-सी है?
If a \(4x^2\) square has total strips (14x) and corner (49), what is the side of the square?
#error-check
#visual-square
#identity
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A ( 2x+7 )
B ( 4x+7 )
C ( 2x+49 )
D ( x+7 )
Explanation opens after your attempt
Correct Answer
A. ( 2x+7 )
Step 1
Concept
(4x-2 =(2x)2 ), \(49=7^2\) and the middle term should be \(2\cdot2x\cdot7=28x\), so the given total strips do not match. For the correct square, total strips must be (28x).
Step 2
Why this answer is correct
The correct answer is A. ( 2x+7 ). (4x-2 =(2x)2 ), \(49=7^2\) and the middle term should be \(2\cdot2x\cdot7=28x\), so the given total strips do not match. For the correct square, total strips must be (28x).
Step 3
Exam Tip
(4x-2 =(2x)2 ), \(49=7^2\) और मध्य पद \(2\cdot2x\cdot7=28x\) होना चाहिए इसलिए दी गई कुल पट्टियाँ मेल नहीं खातीं। सही वर्ग के लिए कुल पट्टियाँ (28x) होंगी।
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एक छात्र ने ( (x+3)2 ) के मॉडल में केवल एक (3x) पट्टी ली। उसकी गलती क्या है?
A student took only one (3x) strip in the model of ( (x+3)2 ). What is the mistake?
#common-error
#binomial-square
#visual
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A उसे दो (3x) पट्टियाँ लेनी चाहिए / He should take two (3x) strips
B उसे (9x) पट्टी लेनी चाहिए / He should take a (9x) strip
C उसे \(x^2\) हटाना चाहिए / He should remove \(x^2\)
D उसे (3) कोना हटाना चाहिए / He should remove the (3) corner
Explanation opens after your attempt
Correct Answer
A. उसे दो (3x) पट्टियाँ लेनी चाहिए / He should take two (3x) strips
Step 1
Concept
A square model forms two equal rectangles, so (6x) appears. In exams, do not make the one-strip mistake.
Step 2
Why this answer is correct
The correct answer is A. उसे दो (3x) पट्टियाँ लेनी चाहिए / He should take two (3x) strips. A square model forms two equal rectangles, so (6x) appears. In exams, do not make the one-strip mistake.
Step 3
Exam Tip
वर्ग मॉडल में दो समान आयतें बनती हैं इसलिए (6x) आता है। परीक्षा में केवल एक पट्टी लेने की गलती न करें।
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एक छात्र ने ( (x+5)2 ) को \(x^2+25\) लिखा। दृश्य मॉडल से कौन-सा भाग छूट गया?
A student wrote ( (x+5)2 ) as \(x^2+25\). Which part is missing according to the visual model?
#mistake-analysis
#area-model
#identity
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A ( 5x )
B ( 10x )
C ( 25x )
D \( 2x^2 \)
Explanation opens after your attempt
Correct Answer
B. ( 10x )
Step 1
Concept
Two (5x) rectangles are missing, and their sum is (10x). In exams, never omit the middle term.
Step 2
Why this answer is correct
The correct answer is B. ( 10x ). Two (5x) rectangles are missing, and their sum is (10x). In exams, never omit the middle term.
Step 3
Exam Tip
दो (5x) आयत छूट गए हैं, जिनका योग (10x) है। परीक्षा में मध्य पद कभी न छोड़ें।
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( (a-b)2 ) के दृश्य मॉडल में छोटा \(b^2\) वर्ग क्यों जोड़ा जाता है?
Why is the small \(b^2\) square added in the visual model of ( (a-b)2 )?
#subtraction-visual
#concept
#identity
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A क्योंकि कोना दो बार घट जाता है / Because the corner is subtracted twice
B क्योंकि कोना कभी घटता ही नहीं / Because the corner is never subtracted
C क्योंकि \(a^2\) को बढ़ाना होता है / Because \(a^2\) must be increased
D क्योंकि (2ab) जोड़ना होता है / Because (2ab) must be added
Explanation opens after your attempt
Correct Answer
A. क्योंकि कोना दो बार घट जाता है / Because the corner is subtracted twice
Step 1
Concept
While removing two strips, the \(b^2\) corner is removed twice. In exams, add it back once.
Step 2
Why this answer is correct
The correct answer is A. क्योंकि कोना दो बार घट जाता है / Because the corner is subtracted twice. While removing two strips, the \(b^2\) corner is removed twice. In exams, add it back once.
Step 3
Exam Tip
दो पट्टियाँ हटाते समय कोने का \(b^2\) भाग दो बार हटता है। परीक्षा में उसे एक बार वापस जोड़ें।
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( (x+2)(x+7) ) के आयत मॉडल में चार भागों का सही समूह कौन-सा है?
In the rectangle model of ( (x+2)(x+7) ), which set of four parts is correct?
#rectangle-parts
#area-model
#product
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A \(x^2\), (2x), (7x), (14)
B \(x^2\), (9x), (14x), (2)
C \(x^2\), (2x), (7x), (9)
D \(x^2\), (14x), (7x), (2)
Explanation opens after your attempt
Correct Answer
A. \(x^2\), (2x), (7x), (14)
Step 1
Concept
The four parts come from multiplying the side pieces. In exams, multiply each row and column.
Step 2
Why this answer is correct
The correct answer is A. \(x^2\), (2x), (7x), (14). The four parts come from multiplying the side pieces. In exams, multiply each row and column.
Step 3
Exam Tip
चार भाग भुजाओं के गुणन से मिलते हैं। परीक्षा में हर पंक्ति और स्तंभ का गुणन करें।
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( (2x+1)(x+4) ) का क्षेत्रफल मॉडल बनाने पर (x) वाला कुल पद क्या होगा?
When making the area model of ( (2x+1)(x+4) ), what will be the total (x) term?
#area-model
#product
#linear-term
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A ( 5x )
B ( 8x )
C ( 9x )
D ( 4x )
Explanation opens after your attempt
Step 1
Concept
The linear parts are (8x) and (x), whose sum is (9x). In exams, add both cross parts.
Step 2
Why this answer is correct
The correct answer is C. ( 9x ). The linear parts are (8x) and (x), whose sum is (9x). In exams, add both cross parts.
Step 3
Exam Tip
रैखिक भाग (8x) और (x) हैं, जिनका योग (9x) है। परीक्षा में दोनों क्रॉस भाग जोड़ें।
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एक आयत मॉडल में भुजाएँ (3y+2) और (y+5) हैं। कुल क्षेत्रफल का सही रूप चुनिए।
In a rectangle model, the sides are (3y+2) and (y+5). Choose the correct total area.
#rectangle-expansion
#visual
#medium
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A \( 3y^2+17y+10 \)
B \( 3y^2+15y+10 \)
C \( 3y^2+7y+10 \)
D \( 3y^2+10y+17 \)
Explanation opens after your attempt
Correct Answer
A. \( 3y^2+17y+10 \)
Step 1
Concept
The parts are \(3y^2\), (15y), (2y) and (10). In exams, combine (15y+2y=17y).
Step 2
Why this answer is correct
The correct answer is A. \( 3y^2+17y+10 \). The parts are \(3y^2\), (15y), (2y) and (10). In exams, combine (15y+2y=17y).
Step 3
Exam Tip
भाग \(3y^2\), (15y), (2y) और (10) हैं। परीक्षा में (15y+2y=17y) करें।
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( (4p+3)(p+2) ) के ग्रिड मॉडल में स्थिर कोना क्या होगा?
In the grid model of ( (4p+3)(p+2) ), what will be the constant corner?
#grid-model
#constant-corner
#identity
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A ( 3 )
B ( 2 )
C ( 5 )
D ( 6 )
Explanation opens after your attempt
Step 1
Concept
The constant part is \(3\times2=6\). In exams, keep variable and constant parts separate.
Step 2
Why this answer is correct
The correct answer is D. ( 6 ). The constant part is \(3\times2=6\). In exams, keep variable and constant parts separate.
Step 3
Exam Tip
स्थिर भाग \(3\times2=6\) है। परीक्षा में चर वाले और स्थिर भाग अलग रखें।
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एक वर्ग मॉडल में \(x^2\), दो (11x) पट्टियाँ और (121) कोना है। कुल क्षेत्रफल क्या है?
A square model has \(x^2\), two (11x) strips and a (121) corner. What is the total area?
#square-model
#total-area
#visual
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A \( x^2+11x+121 \)
B \( x^2+22x+121 \)
C \( x^2+121x+22 \)
D \( x^2+22x+11 \)
Explanation opens after your attempt
Correct Answer
B. \( x^2+22x+121 \)
Step 1
Concept
The two (11x) strips add to (22x). In exams, remember to add the two equal rectangles.
Step 2
Why this answer is correct
The correct answer is B. \( x^2+22x+121 \). The two (11x) strips add to (22x). In exams, remember to add the two equal rectangles.
Step 3
Exam Tip
दो (11x) पट्टियों का योग (22x) है। परीक्षा में दो समान आयतों को जोड़ना याद रखें।
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यदि (x-6) भुजा वाले वर्ग में बड़े वर्ग \(x^2\) से दो पट्टियाँ हटती हैं, तो हटाई गई पट्टियों का कुल क्षेत्रफल क्या है?
If in a square of side (x-6), two strips are removed from the large square \(x^2\), what is the total area of the removed strips?
#removed-strips
#minus-square
#visual
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A ( 6x )
B ( 12x )
C ( 36x )
D ( 36 )
Explanation opens after your attempt
Correct Answer
B. ( 12x )
Step 1
Concept
Both strips are (6x) and (6x), so total (12x) is subtracted. In exams, count both removed parts.
Step 2
Why this answer is correct
The correct answer is B. ( 12x ). Both strips are (6x) and (6x), so total (12x) is subtracted. In exams, count both removed parts.
Step 3
Exam Tip
दोनों पट्टियाँ (6x) और (6x) हैं इसलिए कुल (12x) घटता है। परीक्षा में हटे हुए दोनों भाग गिनें।
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एक (2x-5) भुजा वाले वर्ग के मॉडल में अंतिम विस्तार कौन-सा है?
What is the final expansion in the model of a square with side (2x-5)?
#minus-binomial
#area-model
#expansion
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A \( 4x^2-20x+25 \)
B \( 4x^2-10x+25 \)
C \( 2x^2-20x+25 \)
D \( 4x^2+20x+25 \)
Explanation opens after your attempt
Correct Answer
A. \( 4x^2-20x+25 \)
Step 1
Concept
The middle term is \(-2\cdot2x\cdot5=-20x\). In exams, multiply the whole (2x).
Step 2
Why this answer is correct
The correct answer is A. \( 4x^2-20x+25 \). The middle term is \(-2\cdot2x\cdot5=-20x\). In exams, multiply the whole (2x).
Step 3
Exam Tip
मध्य पद \(-2\cdot2x\cdot5=-20x\) है। परीक्षा में पूरे (2x) को गुणा करें।
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( (x+8)2 -(x-8)2 ) को दो वर्गों के दृश्य अंतर से देखा जाए तो परिणाम क्या होगा?
If ( (x+8)2 -(x-8)2 ) is viewed as the visual difference of two squares, what is the result?
#visual-difference
#squares
#identity
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A ( 16x )
B ( 32x )
C \( x^2-64 \)
D ( 64x )
Explanation opens after your attempt
Correct Answer
B. ( 32x )
Step 1
Concept
On expansion, \(x^2-16x+64\) is subtracted from \(x^2+16x+64\), leaving (32x). In exams, cancel like terms.
Step 2
Why this answer is correct
The correct answer is B. ( 32x ). On expansion, \(x^2-16x+64\) is subtracted from \(x^2+16x+64\), leaving (32x). In exams, cancel like terms.
Step 3
Exam Tip
विस्तार करने पर \(x^2+16x+64\) से \(x^2-16x+64\) घटता है और (32x) बचता है। परीक्षा में समान पद काटें।
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एक मॉडल में (a+b+c) भुजा वाले वर्ग को अलग भागों में बाँटा गया। कुल क्षेत्रफल में कौन-सा पद अवश्य आएगा?
A model divides a square of side (a+b+c) into parts. Which term must appear in the total area?
#three-term-square
#visual-model
#area
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A ( 2ab+2bc+2ca )
B ( ab+bc+ca )
C \( a^2+b^2+c^2 \) ही / Only \( a^2+b^2+c^2 \)
D ( 3abc )
Explanation opens after your attempt
Correct Answer
A. ( 2ab+2bc+2ca )
Step 1
Concept
Because of three pairs of rectangles, (2ab), (2bc) and (2ca) appear. In exams, count each pair twice.
Step 2
Why this answer is correct
The correct answer is A. ( 2ab+2bc+2ca ). Because of three pairs of rectangles, (2ab), (2bc) and (2ca) appear. In exams, count each pair twice.
Step 3
Exam Tip
तीन जोड़ी आयतों के कारण (2ab), (2bc) और (2ca) आते हैं। परीक्षा में हर जोड़ी दो बार गिनें।
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(a+b+c) भुजा वाले वर्ग में छोटे वर्गों के क्षेत्रफल कौन-से होंगे?
In a square of side (a+b+c), what will be the areas of the small squares?
#three-term-square
#small-squares
#visual
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A \(a^2\), \(b^2\), \(c^2\)
B (ab), (bc), (ca)
C (2ab), (2bc), (2ca)
D (abc), (a+b+c), (1)
Explanation opens after your attempt
Correct Answer
A. \(a^2\), \(b^2\), \(c^2\)
Step 1
Concept
Each small square has side (a), (b), (c) respectively. In exams, distinguish square and rectangle parts.
Step 2
Why this answer is correct
The correct answer is A. \(a^2\), \(b^2\), \(c^2\). Each small square has side (a), (b), (c) respectively. In exams, distinguish square and rectangle parts.
Step 3
Exam Tip
हर छोटे वर्ग की भुजा क्रमशः (a), (b), (c) है। परीक्षा में वर्ग और आयत भाग अलग पहचानें।
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एक दृश्य मॉडल में ( (m+n)2 ) और ( (m-n)2 ) दोनों दिखाए गए हैं। इनके क्षेत्रफलों का अंतर क्या होगा?
A visual model shows both ( (m+n)2 ) and ( (m-n)2 ). What will be the difference of their areas?
#area-difference
#binomial-square
#visual
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A ( 2mn )
B ( 4mn )
C \( m^2-n^2 \)
D \( 2m^2+2n^2 \)
Explanation opens after your attempt
Correct Answer
B. ( 4mn )
Step 1
Concept
In both expansions, \(m^2\) and \(n^2\) cancel, leaving (2mn-(-2mn)=4mn). In exams, treat minus of minus as addition.
Step 2
Why this answer is correct
The correct answer is B. ( 4mn ). In both expansions, \(m^2\) and \(n^2\) cancel, leaving (2mn-(-2mn)=4mn). In exams, treat minus of minus as addition.
Step 3
Exam Tip
दोनों विस्तारों में \(m^2\) और \(n^2\) कटते हैं, (2mn-(-2mn)=4mn) बचता है। परीक्षा में ऋण के ऋण को जोड़ समझें।
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( (x+3)2 ) के वर्ग मॉडल और ( (x+3)(x+4) ) के आयत मॉडल में कौन-सा भाग समान है?
Which part is common in the square model of ( (x+3)2 ) and the rectangle model of ( (x+3)(x+4) )?
#compare-models
#common-area
#visual
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A \( x^2 \)
B ( 12 )
C ( 7x )
D ( 9 )
Explanation opens after your attempt
Correct Answer
A. \( x^2 \)
Step 1
Concept
Both models have the (x) by (x) part \(x^2\). In exams, identify the common large square first.
Step 2
Why this answer is correct
The correct answer is A. \( x^2 \). Both models have the (x) by (x) part \(x^2\). In exams, identify the common large square first.
Step 3
Exam Tip
दोनों मॉडलों में (x) से (x) का भाग \(x^2\) है। परीक्षा में साझा बड़े वर्ग को पहले पहचानें।
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एक आयत (x+5) और (x+5) से बना है। इसे वर्ग मॉडल मानने पर कौन-सा विशेष तथ्य सही है?
A rectangle is made with sides (x+5) and (x+5). If it is treated as a square model, which special fact is correct?
#square-recognition
#visual-model
#identity
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A दोनों पट्टियाँ असमान होंगी / The two strips will be unequal
B मध्य पद (10x) होगा / The middle term will be (10x)
C स्थिर भाग (10) होगा / The constant part will be (10)
D \(x^2\) भाग नहीं होगा / There will be no \(x^2\) part
Explanation opens after your attempt
Correct Answer
B. मध्य पद (10x) होगा / The middle term will be (10x)
Step 1
Concept
Two equal (5x) strips combine to make (10x). In exams, identify a square from equal sides.
Step 2
Why this answer is correct
The correct answer is B. मध्य पद (10x) होगा / The middle term will be (10x). Two equal (5x) strips combine to make (10x). In exams, identify a square from equal sides.
Step 3
Exam Tip
दो समान (5x) पट्टियाँ मिलकर (10x) बनाती हैं। परीक्षा में समान भुजाओं पर वर्ग पहचानें।
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एक शिक्षक ने ( (a+4)(a-4) ) को टाइलों से दिखाया। यदि \(a^2\) टाइल बची और (16) टाइल हट गई, तो सही सर्वसमिका क्या है?
A teacher showed ( (a+4)(a-4) ) using tiles. If the \(a^2\) tile remains and the (16) tile is removed, what is the correct identity?
#tiles
#difference-of-squares
#identity
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A ( (a+4)(a-4)=a-2 -16 )
B ( (a+4)(a-4)=a-2 +16 )
C ( (a+4)(a-4)=a-2 -8a+16 )
D ( (a+4)(a-4)=a-2 +8a+16 )
Explanation opens after your attempt
Correct Answer
A. ( (a+4)(a-4)=a-2 -16 )
Step 1
Concept
This is a direct visual model of difference of squares. In exams, match ((a+b)(a-b)) with \(a^2-b^2\).
Step 2
Why this answer is correct
The correct answer is A. ( (a+4)(a-4)=a-2 -16 ). This is a direct visual model of difference of squares. In exams, match ((a+b)(a-b)) with \(a^2-b^2\).
Step 3
Exam Tip
यह वर्गों के अंतर का सीधा दृश्य मॉडल है। परीक्षा में ((a+b)(a-b)) को \(a^2-b^2\) से मिलाएँ।
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