( (5x-4y)2 -25x-2 -16y-2 ) का सरल रूप क्या है?
What is the simplified form of ( (5x-4y)2 -25x-2 -16y-2 )?
#minus square
#negative middle term
#simplification
A (40xy) / चिह्न गलत
B (-40xy) / सही रूप
C \(25x^2-16y^2\) / वर्गों का अंतर
D (0) / मध्य पद बचता है
Explanation opens after your attempt
Correct Answer
B. (-40xy) / सही रूप
Step 1
Concept
( (5x-4y)2 =25x-2 -40xy+16y-2 ). After square terms are removed, (-40xy) remains.
Step 2
Why this answer is correct
The correct answer is B. (-40xy) / सही रूप. ( (5x-4y)2 =25x-2 -40xy+16y-2 ). After square terms are removed, (-40xy) remains.
Step 3
Exam Tip
( (5x-4y)2 =25x-2 -40xy+16y-2 ) है। वर्ग पद हटने पर (-40xy) बचता है।
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( (4m-3n)2 -\(16m^2+9n^2\) ) का मान क्या होगा?
What is the value of ( (4m-3n)2 -\(16m^2+9n^2\) )?
#negative middle term
#minus square
#simplification
A (24mn) / चिह्न गलत
B \(16m^2-9n^2\) / अलग पहचान
C (-24mn) / सही मान
D (0) / मध्य पद नहीं कटता
Explanation opens after your attempt
Correct Answer
C. (-24mn) / सही मान
Step 1
Concept
( (4m-3n)2 =16m-2 -24mn+9n-2 ). After square terms are removed, (-24mn) remains.
Step 2
Why this answer is correct
The correct answer is C. (-24mn) / सही मान. ( (4m-3n)2 =16m-2 -24mn+9n-2 ). After square terms are removed, (-24mn) remains.
Step 3
Exam Tip
( (4m-3n)2 =16m-2 -24mn+9n-2 ) है। वर्ग पद हटने पर (-24mn) बचता है।
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यदि \(t-\frac{1}{t}=6\) है तो \(t^2+\frac{1}{t^2}\) कितना होगा?
If \(t-\frac{1}{t}=6\), what is \(t^2+\frac{1}{t^2}\)?
#reciprocal expression
#minus square
#identity
A (34)
B (36)
C (38)
D (40)
Explanation opens after your attempt
Step 1
Concept
On squaring, \(t^2-2+\frac{1}{t^2}=36\), so the value is (38). Exam tip: the square of a difference gives (-2).
Step 2
Why this answer is correct
The correct answer is C. (38). On squaring, \(t^2-2+\frac{1}{t^2}=36\), so the value is (38). Exam tip: the square of a difference gives (-2).
Step 3
Exam Tip
वर्ग करने पर \(t^2-2+\frac{1}{t^2}=36\) इसलिए मान (38) है। परीक्षा में अंतर के वर्ग में (-2) आता है।
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( (a-b)2 -\(a^2+b^2\) ) किसके बराबर है?
What is ( (a-b)2 -\(a^2+b^2\) ) equal to?
#minus square
#middle term
#identity
A (2ab)
B (-2ab)
C \(a^2-b^2\)
D \(-b^2\)
Explanation opens after your attempt
Step 1
Concept
( (a-b)2 =a-2 -2ab+b-2 ), so subtracting leaves (-2ab). Exam tip: remember the negative middle term.
Step 2
Why this answer is correct
The correct answer is B. (-2ab). ( (a-b)2 =a-2 -2ab+b-2 ), so subtracting leaves (-2ab). Exam tip: remember the negative middle term.
Step 3
Exam Tip
( (a-b)2 =a-2 -2ab+b-2 ) है इसलिए घटाने पर (-2ab) बचता है। परीक्षा में नकारात्मक मध्य पद याद रखें।
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यदि ( (x-k)2 =x-2 -30x+225 ) है तो (k) कितना है?
If ( (x-k)2 =x-2 -30x+225 ), what is (k)?
#unknown value
#minus square
#perfect square
A (15)
B (30)
C (225)
D (10)
Explanation opens after your attempt
Step 1
Concept
\(225=15^2\) and (-2kx=-30x) gives (k=15). Exam tip: the middle term of ((x-k)2 ) is (-2kx).
Step 2
Why this answer is correct
The correct answer is A. (15). \(225=15^2\) and (-2kx=-30x) gives (k=15). Exam tip: the middle term of ((x-k)2 ) is (-2kx).
Step 3
Exam Tip
\(225=15^2\) और (-2kx=-30x) से (k=15) मिलता है। परीक्षा में ((x-k)2 ) का मध्य पद (-2kx) होता है।
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( (5a-2b)2 -\(25a^2+4b^2\) ) को सरल कीजिए।
Simplify ( (5a-2b)2 -\(25a^2+4b^2\) ).
#minus square
#simplification
#middle term
A (20ab)
B (-20ab)
C (10ab)
D (-10ab)
Explanation opens after your attempt
Correct Answer
B. (-20ab)
Step 1
Concept
The expansion is \(25a^2-20ab+4b^2\), so like terms cancel and (-20ab) remains. Exam tip: watch the negative middle term.
Step 2
Why this answer is correct
The correct answer is B. (-20ab). The expansion is \(25a^2-20ab+4b^2\), so like terms cancel and (-20ab) remains. Exam tip: watch the negative middle term.
Step 3
Exam Tip
विस्तार \(25a^2-20ab+4b^2\) है इसलिए समान पद घटकर (-20ab) बचता है। परीक्षा में ऋणात्मक मध्य पद पर ध्यान दें।
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( (4x-5)2 -\(16x^2+25\) ) का सरल रूप क्या है?
What is the simplified form of ( (4x-5)2 -\(16x^2+25\) )?
#minus square
#simplification
#linear term
A (40x)
B (-40x)
C (20x)
D (-20x)
Explanation opens after your attempt
Step 1
Concept
( (4x-5)2 =16x-2 -40x+25 ). Subtracting \(16x^2+25\) leaves (-40x).
Step 2
Why this answer is correct
The correct answer is B. (-40x). ( (4x-5)2 =16x-2 -40x+25 ). Subtracting \(16x^2+25\) leaves (-40x).
Step 3
Exam Tip
( (4x-5)2 =16x-2 -40x+25 ) है। \(16x^2+25\) घटाने पर (-40x) बचता है।
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( (2a-b)2 -\(4a^2+b^2\) ) का सरल रूप क्या है?
What is the simplified form of ( (2a-b)2 -\(4a^2+b^2\) )?
#minus square
#simplification
#ab term
A (4ab)
B (-4ab)
C (2ab)
D (-2ab)
Explanation opens after your attempt
Step 1
Concept
( (2a-b)2 =4a-2 -4ab+b-2 ). Subtracting \(4a^2+b^2\) leaves (-4ab).
Step 2
Why this answer is correct
The correct answer is B. (-4ab). ( (2a-b)2 =4a-2 -4ab+b-2 ). Subtracting \(4a^2+b^2\) leaves (-4ab).
Step 3
Exam Tip
( (2a-b)2 =4a-2 -4ab+b-2 ) है। \(4a^2+b^2\) घटाने पर (-4ab) बचता है।
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( (3x-2y)2 -9x-2 -4y-2 ) का सरल रूप क्या है?
What is the simplified form of ( (3x-2y)2 -9x-2 -4y-2 )?
#minus square
#simplification
#negative middle term
A (12xy) / चिह्न गलत
B (-12xy) / सही रूप
C \(9x^2-4y^2\) / वर्गों का अंतर
D (0) / मध्य पद बचता है
Explanation opens after your attempt
Correct Answer
B. (-12xy) / सही रूप
Step 1
Concept
( (3x-2y)2 =9x-2 -12xy+4y-2 ). After removing square terms, (-12xy) remains.
Step 2
Why this answer is correct
The correct answer is B. (-12xy) / सही रूप. ( (3x-2y)2 =9x-2 -12xy+4y-2 ). After removing square terms, (-12xy) remains.
Step 3
Exam Tip
( (3x-2y)2 =9x-2 -12xy+4y-2 ) है। वर्ग पद हटाने पर (-12xy) बचता है।
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( (3u-2v)2 -\(9u^2+4v^2\) ) का मान क्या होगा?
What is the value of ( (3u-2v)2 -\(9u^2+4v^2\) )?
#minus square
#simplification
#uv term
A (12uv) / चिह्न गलत
B \(9u^2-4v^2\) / अलग पहचान
C (-12uv) / सही मान
D (0) / मध्य पद नहीं कटता
Explanation opens after your attempt
Correct Answer
C. (-12uv) / सही मान
Step 1
Concept
( (3u-2v)2 =9u-2 -12uv+4v-2 ). Exam tip: pay attention to the negative middle term.
Step 2
Why this answer is correct
The correct answer is C. (-12uv) / सही मान. ( (3u-2v)2 =9u-2 -12uv+4v-2 ). Exam tip: pay attention to the negative middle term.
Step 3
Exam Tip
( (3u-2v)2 =9u-2 -12uv+4v-2 ) है। परीक्षा में ऋण मध्य पद पर ध्यान दें।
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पहचान ( (a-b)2 ) का सही विस्तार कौन-सा है?
Which is the correct expansion of the identity ( (a-b)2 )?
#algebraic identities
#minus square
#expansion
A \(a^2+2ab+b^2\) / योग का वर्ग
B \(a^2-b^2\) / वर्गों का अंतर
C \(a^2-2ab+b^2\) / सही विस्तार
D \(a^2-ab+b^2\) / मध्य पद अधूरा
Explanation opens after your attempt
Correct Answer
C. \(a^2-2ab+b^2\) / सही विस्तार
Step 1
Concept
In ( (a-b)2 ), the middle term is (-2ab). Exam tip: check the negative sign carefully.
Step 2
Why this answer is correct
The correct answer is C. \(a^2-2ab+b^2\) / सही विस्तार. In ( (a-b)2 ), the middle term is (-2ab). Exam tip: check the negative sign carefully.
Step 3
Exam Tip
( (a-b)2 ) में मध्य पद (-2ab) होता है। परीक्षा में ऋण चिह्न ध्यान से देखें।
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( (2x-5)2 ) का सही प्रसार कौन सा है?
What is the correct expansion of ( (2x-5)2 )?
#algebraic identities
#minus square
#expansion
A \(4x^2-10x+25\)
B \(4x^2-20x+25\)
C \(2x^2-20x+25\)
D \(4x^2+20x+25\)
Explanation opens after your attempt
Correct Answer
B. \(4x^2-20x+25\)
Step 1
Concept
Use ( (a-b)2 =a-2 -2ab+b-2 ). Here the middle term is \(-2\cdot2x\cdot5=-20x\).
Step 2
Why this answer is correct
The correct answer is B. \(4x^2-20x+25\). Use ( (a-b)2 =a-2 -2ab+b-2 ). Here the middle term is \(-2\cdot2x\cdot5=-20x\).
Step 3
Exam Tip
( (a-b)2 =a-2 -2ab+b-2 ) लगाएँ। यहाँ बीच का पद \(-2\cdot2x\cdot5=-20x\) है।
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\( 25m^2-70mn+49n^2 \) किसका वर्ग है?
\( 25m^2-70mn+49n^2 \) is the square of what?
#perfect square
#two variables
#minus square
A ( (5m+7n)2 )
B ( (25m-7n)2 )
C ( (5m-7n)2 )
D ( (m-7n)2 )
Explanation opens after your attempt
Correct Answer
C. ( (5m-7n)2 )
Step 1
Concept
(25m-2 =(5m)2 ) and (49n-2 =(7n)2 ). The middle term (-70mn) makes it ( (5m-7n)2 ).
Step 2
Why this answer is correct
The correct answer is C. ( (5m-7n)2 ). (25m-2 =(5m)2 ) and (49n-2 =(7n)2 ). The middle term (-70mn) makes it ( (5m-7n)2 ).
Step 3
Exam Tip
(25m-2 =(5m)2 ) और (49n-2 =(7n)2 ) है। बीच का पद (-70mn) इसे ( (5m-7n)2 ) बनाता है।
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( (3x-2y)2 -\(9x^2+4y^2\) ) का सरल रूप क्या है?
What is the simplified form of ( (3x-2y)2 -\(9x^2+4y^2\) )?
#minus square
#simplification
#xy term
A (12xy)
B (-12xy)
C (6xy)
D (-6xy)
Explanation opens after your attempt
Correct Answer
B. (-12xy)
Step 1
Concept
( (3x-2y)2 =9x-2 -12xy+4y-2 ). Subtracting \(9x^2+4y^2\) leaves (-12xy).
Step 2
Why this answer is correct
The correct answer is B. (-12xy). ( (3x-2y)2 =9x-2 -12xy+4y-2 ). Subtracting \(9x^2+4y^2\) leaves (-12xy).
Step 3
Exam Tip
( (3x-2y)2 =9x-2 -12xy+4y-2 ) है। \(9x^2+4y^2\) घटाने पर (-12xy) बचता है।
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\( 997^2 \) का मान सर्वसमिका से क्या होगा?
Using identity, what is the value of \( 997^2 \)?
#mental math
#minus square
#997 square
A (994009)
B (994900)
C (994009)
D (990049)
Explanation opens after your attempt
Correct Answer
A. (994009)
Step 1
Concept
(997=1000-3) and ( (1000-3)2 =1000000-6000+9 ). Therefore (994009) is correct.
Step 2
Why this answer is correct
The correct answer is A. (994009). (997=1000-3) and ( (1000-3)2 =1000000-6000+9 ). Therefore (994009) is correct.
Step 3
Exam Tip
(997=1000-3) है और ( (1000-3)2 =1000000-6000+9 ) है। इसलिए (994009) सही है।
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( (5x-2)2 -\(25x^2+4\) ) को सरल कीजिए।
Simplify ( (5x-2)2 -\(25x^2+4\) ).
#simplification
#minus square
#middle term
A (20x) / चिह्न गलत
B - (20x) / सही उत्तर
C \(25x^2-4\) / अलग पहचान
D (0) / सभी पद नहीं कटते
Explanation opens after your attempt
Correct Answer
B. - (20x) / सही उत्तर
Step 1
Concept
( (5x-2)2 =25x-2 -20x+4 ). Exam tip: square and constant terms cancel after subtraction.
Step 2
Why this answer is correct
The correct answer is B. - (20x) / सही उत्तर. ( (5x-2)2 =25x-2 -20x+4 ). Exam tip: square and constant terms cancel after subtraction.
Step 3
Exam Tip
( (5x-2)2 =25x-2 -20x+4 ) है। परीक्षा में घटाने पर वर्ग और स्थिर पद कट जाते हैं।
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\(9x^2-24xy+16y^2\) का सही रूप कौन-सा है?
Which is the correct form of \(9x^2-24xy+16y^2\)?
#perfect square
#factorisation
#minus square
A ( (3x+4y)2 ) / चिह्न गलत
B ( (3x-4y)2 ) / सही पूर्ण वर्ग
C ( (9x-16y)2 ) / वर्गमूल गलत
D ( (3x+4y)(3x-4y) ) / वर्गों का अंतर
Explanation opens after your attempt
Correct Answer
B. ( (3x-4y)2 ) / सही पूर्ण वर्ग
Step 1
Concept
This is ( (3x)2 -2\cdot3x\cdot4y+(4y)2 ). Exam tip: identify the sign of the middle term.
Step 2
Why this answer is correct
The correct answer is B. ( (3x-4y)2 ) / सही पूर्ण वर्ग. This is ( (3x)2 -2\cdot3x\cdot4y+(4y)2 ). Exam tip: identify the sign of the middle term.
Step 3
Exam Tip
यह ( (3x)2 -2\cdot3x\cdot4y+(4y)2 ) है। परीक्षा में मध्य पद का चिह्न पहचानें।
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( (x+5)(x-5) ) और ( (x-5)2 ) में क्या मुख्य अंतर है?
What is the main difference between ( (x+5)(x-5) ) and ( (x-5)2 )?
#identity comparison
#difference of squares
#minus square
A पहला \(x^2-25\) है और दूसरा \(x^2-10x+25\) है / The first is \(x^2-25\) and the second is \(x^2-10x+25\)
B दोनों \(x^2-25\) हैं / Both are \(x^2-25\)
C पहला \(x^2+25\) है / The first is \(x^2+25\)
D दूसरा \(x^2+10x+25\) है / The second is \(x^2+10x+25\)
Explanation opens after your attempt
Correct Answer
A. पहला \(x^2-25\) है और दूसरा \(x^2-10x+25\) है / The first is \(x^2-25\) and the second is \(x^2-10x+25\)
Step 1
Concept
In opposite-sign product mixed terms cancel but in a square the middle term remains. Exam tip: do not mix the two forms.
Step 2
Why this answer is correct
The correct answer is A. पहला \(x^2-25\) है और दूसरा \(x^2-10x+25\) है / The first is \(x^2-25\) and the second is \(x^2-10x+25\). In opposite-sign product mixed terms cancel but in a square the middle term remains. Exam tip: do not mix the two forms.
Step 3
Exam Tip
विपरीत चिन्ह वाले गुणन में मिश्र पद कटता है पर वर्ग में मध्य पद रहता है। परीक्षा में दोनों रूपों को न मिलाएँ।
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यदि (p-q=5) और (pq=6) है तो \(p^2+q^2\) का मान क्या है?
If (p-q=5) and (pq=6), what is \(p^2+q^2\)?
#minus square
#sum of squares
#given values
A (31)
B (37)
C (25)
D (19)
Explanation opens after your attempt
Step 1
Concept
(p-2 +q-2 =(p-q)2 +2pq=25+12=37). Exam tip: rearrange using ( (p-q)2 =p-2 -2pq+q-2 ).
Step 2
Why this answer is correct
The correct answer is B. (37). (p-2 +q-2 =(p-q)2 +2pq=25+12=37). Exam tip: rearrange using ( (p-q)2 =p-2 -2pq+q-2 ).
Step 3
Exam Tip
(p-2 +q-2 =(p-q)2 +2pq=25+12=37)। परीक्षा में ( (p-q)2 =p-2 -2pq+q-2 ) से रूप बदलें।
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( (a-b)2 ) और \(a^2-b^2\) का अंतर क्या है?
What is the difference between ( (a-b)2 ) and \(a^2-b^2\)?
#identity comparison
#minus square
#difference of squares
A \(2b^2-2ab\)
B (2ab)
C \(b^2\)
D \(a^2\)
Explanation opens after your attempt
Correct Answer
A. \(2b^2-2ab\)
Step 1
Concept
( (a-b)2 =a-2 -2ab+b-2 ), so subtracting \(a^2-b^2\) gives \(2b^2-2ab\). Exam tip: keep both identities separate.
Step 2
Why this answer is correct
The correct answer is A. \(2b^2-2ab\). ( (a-b)2 =a-2 -2ab+b-2 ), so subtracting \(a^2-b^2\) gives \(2b^2-2ab\). Exam tip: keep both identities separate.
Step 3
Exam Tip
( (a-b)2 =a-2 -2ab+b-2 ) है इसलिए \(a^2-b^2\) घटाने पर \(2b^2-2ab\) मिलता है। परीक्षा में दोनों पहचान अलग रखें।
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( (4a-5)2 -\(16a^2+25\) ) का सरल रूप क्या है?
What is the simplified form of ( (4a-5)2 -\(16a^2+25\) )?
#minus square
#simplification
#middle term
A (40a)
B (-40a)
C (20a)
D (-20a)
Explanation opens after your attempt
Step 1
Concept
The expansion is \(16a^2-40a+25\), so like terms cancel leaving (-40a). Exam tip: do not forget the negative middle term.
Step 2
Why this answer is correct
The correct answer is B. (-40a). The expansion is \(16a^2-40a+25\), so like terms cancel leaving (-40a). Exam tip: do not forget the negative middle term.
Step 3
Exam Tip
विस्तार \(16a^2-40a+25\) है इसलिए समान पद घटकर (-40a) बचता है। परीक्षा में ऋणात्मक मध्य पद न भूलें।
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यदि ( (x-7)2 =x-2 -kx+49 ) है तो (k) कितना है?
If ( (x-7)2 =x-2 -kx+49 ), what is (k)?
#unknown coefficient
#minus square
#middle term
A (7)
B (14)
C (49)
D (21)
Explanation opens after your attempt
Step 1
Concept
The middle term is (-14x), so (k=14). Exam tip: in (-kx), (k) is the positive coefficient.
Step 2
Why this answer is correct
The correct answer is B. (14). The middle term is (-14x), so (k=14). Exam tip: in (-kx), (k) is the positive coefficient.
Step 3
Exam Tip
मध्य पद (-14x) है इसलिए (k=14)। परीक्षा में (-kx) में (k) धनात्मक संख्या है।
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( (x-y)2 -\(x^2+y^2\) ) का सरल रूप क्या है?
What is the simplified form of ( (x-y)2 -\(x^2+y^2\) )?
#minus square
#simplification
#middle term
A (2xy)
B (-2xy)
C \(x^2-y^2\)
D \(y^2-x^2\)
Explanation opens after your attempt
Step 1
Concept
( (x-y)2 =x-2 -2xy+y-2 ), subtracting \(x^2+y^2\) gives (-2xy). Exam tip: watch the negative middle term.
Step 2
Why this answer is correct
The correct answer is B. (-2xy). ( (x-y)2 =x-2 -2xy+y-2 ), subtracting \(x^2+y^2\) gives (-2xy). Exam tip: watch the negative middle term.
Step 3
Exam Tip
( (x-y)2 =x-2 -2xy+y-2 ) से \(x^2+y^2\) घटाने पर (-2xy) मिलता है। परीक्षा में ऋणात्मक मध्य पद पर ध्यान दें।
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\( x^2-22x+121 \) का गुणनखंड रूप क्या है?
What is the factor form of \( x^2-22x+121 \)?
#perfect square
#factorization
#minus square
A ( (x+11)2 )
B ( (x-22)2 )
C ( (x-11)2 )
D ( (x+121)2 )
Explanation opens after your attempt
Correct Answer
C. ( (x-11)2 )
Step 1
Concept
\(121=11^2\) and the middle term is \(-22x=-2\times x\times11\). Exam tip: identify ((a-b)2 ) from the negative middle term.
Step 2
Why this answer is correct
The correct answer is C. ( (x-11)2 ). \(121=11^2\) and the middle term is \(-22x=-2\times x\times11\). Exam tip: identify ((a-b)2 ) from the negative middle term.
Step 3
Exam Tip
\(121=11^2\) और मध्य पद \(-22x=-2\times x\times11\) है। परीक्षा में ऋणात्मक मध्य पद से ((a-b)2 ) पहचानें।
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( (a-b)2 -\(a^2+b^2\) ) का सरल रूप क्या है?
What is the simplified form of ( (a-b)2 -\(a^2+b^2\) )?
#minus square
#simplification
#negative middle term
A (2ab)
B \(a^2-b^2\)
C (-2ab)
D (0)
Explanation opens after your attempt
Step 1
Concept
( (a-b)2 =a-2 -2ab+b-2 ). Subtracting \(a^2+b^2\) leaves (-2ab).
Step 2
Why this answer is correct
The correct answer is C. (-2ab). ( (a-b)2 =a-2 -2ab+b-2 ). Subtracting \(a^2+b^2\) leaves (-2ab).
Step 3
Exam Tip
( (a-b)2 =a-2 -2ab+b-2 ) है। \(a^2+b^2\) घटाने पर (-2ab) बचता है।
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( (x-4)2 =x-2 -8x+16 ) में (-8x) कैसे आया?
How does (-8x) appear in ( (x-4)2 =x-2 -8x+16 )?
#middle term
#minus square
#identity reasoning
A \(x\cdot4\) से / From \(x\cdot4\)
B \(4^2\) से / From \(4^2\)
C \(-2\cdot x\cdot4\) से / From \(-2\cdot x\cdot4\)
D \(x^2-4^2\) से / From \(x^2-4^2\)
Explanation opens after your attempt
Correct Answer
C. \(-2\cdot x\cdot4\) से / From \(-2\cdot x\cdot4\)
Step 1
Concept
In the minus square identity, the middle term is (-2ab). Here \(-2\cdot x\cdot4=-8x\).
Step 2
Why this answer is correct
The correct answer is C. \(-2\cdot x\cdot4\) से / From \(-2\cdot x\cdot4\). In the minus square identity, the middle term is (-2ab). Here \(-2\cdot x\cdot4=-8x\).
Step 3
Exam Tip
घटाव वाली वर्ग सर्वसमिका में बीच का पद (-2ab) होता है। यहाँ \(-2\cdot x\cdot4=-8x\) है।
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( (3x-1)2 -\(9x^2+1\) ) का सरल रूप क्या है?
What is the simplified form of ( (3x-1)2 -\(9x^2+1\) )?
#simplification
#minus square
#linear term
A (6x)
B (-6x)
C (18x)
D (-18x)
Explanation opens after your attempt
Step 1
Concept
( (3x-1)2 =9x-2 -6x+1 ). Subtracting \(9x^2+1\) leaves (-6x).
Step 2
Why this answer is correct
The correct answer is B. (-6x). ( (3x-1)2 =9x-2 -6x+1 ). Subtracting \(9x^2+1\) leaves (-6x).
Step 3
Exam Tip
( (3x-1)2 =9x-2 -6x+1 ) है। \(9x^2+1\) घटाने पर (-6x) बचता है।
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( (4p-3q)2 ) का सही प्रसार कौन सा है?
Which is the correct expansion of ( (4p-3q)2 )?
#minus square
#coefficients
#expansion
A \(16p^2-12pq+9q^2\)
B \(16p^2+24pq+9q^2\)
C \(16p^2-24pq+9q^2\)
D \(4p^2-24pq+3q^2\)
Explanation opens after your attempt
Correct Answer
C. \(16p^2-24pq+9q^2\)
Step 1
Concept
The middle term is \(-2\cdot4p\cdot3q=-24pq\). Exam tip: check both coefficient squares and sign.
Step 2
Why this answer is correct
The correct answer is C. \(16p^2-24pq+9q^2\). The middle term is \(-2\cdot4p\cdot3q=-24pq\). Exam tip: check both coefficient squares and sign.
Step 3
Exam Tip
बीच का पद \(-2\cdot4p\cdot3q=-24pq\) है। परीक्षा में गुणांकों के वर्ग और चिन्ह दोनों देखें।
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\( p^2-18p+81 \) का गुणनखंड रूप क्या है?
What is the factor form of \( p^2-18p+81 \)?
#factorisation
#perfect square
#minus square
A ( (p+9)2 )
B ( (p-18)2 )
C ( (p-9)2 )
D ( (p-81)2 )
Explanation opens after your attempt
Correct Answer
C. ( (p-9)2 )
Step 1
Concept
\(81=9^2\) and the middle term is (-18p). So it is ( (p-9)2 ).
Step 2
Why this answer is correct
The correct answer is C. ( (p-9)2 ). \(81=9^2\) and the middle term is (-18p). So it is ( (p-9)2 ).
Step 3
Exam Tip
\(81=9^2\) और बीच का पद (-18p) है। इसलिए यह ( (p-9)2 ) है।
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\( 98^2 \) को सर्वसमिका से निकालने के लिए सबसे अच्छा रूप कौन सा है?
Which is the best form to find \( 98^2 \) using an identity?
#mental math
#minus square
#algebraic identity
A ( (100-2)2 )
B ( (90+8)2 )
C ( (50+48)2 )
D ( (98+2)2 )
Explanation opens after your attempt
Correct Answer
A. ( (100-2)2 )
Step 1
Concept
Writing (98=100-2) makes calculation easy. Exam tip: choose a nearby round number.
Step 2
Why this answer is correct
The correct answer is A. ( (100-2)2 ). Writing (98=100-2) makes calculation easy. Exam tip: choose a nearby round number.
Step 3
Exam Tip
(98=100-2) लिखने से गणना आसान होती है। परीक्षा में नजदीकी गोल संख्या चुनना उपयोगी है।
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