( (x+5)2 ) का विस्तार क्या है?
What is the expansion of ( (x+5)2 )?
#algebraic identities
#square expansion
#binomial
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^2+10x+25\)
B \(x^2+5x+25\)
C \(x^2+25\)
D \(x^2-10x+25\)
Explanation opens after your attempt
Correct Answer
A. \(x^2+10x+25\)
Step 1
Concept
Using identity ( (a+b)2 =a-2 +2ab+b-2 ) gives the answer. Exam tip: do not forget the middle term (2ab).
Step 2
Why this answer is correct
The correct answer is A. \(x^2+10x+25\). Using identity ( (a+b)2 =a-2 +2ab+b-2 ) gives the answer. Exam tip: do not forget the middle term (2ab).
Step 3
Exam Tip
पहचान ( (a+b)2 =a-2 +2ab+b-2 ) लगाने पर उत्तर मिलता है। परीक्षा में बीच का पद (2ab) भूलें नहीं।
Login to save your score, XP, coins and progress. Login
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
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
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।
Login to save your score, XP, coins and progress. Login
( (y-4)2 ) का सही विस्तार चुनिए।
Choose the correct expansion of ( (y-4)2 ).
#algebraic identities
#minus square
#expansion
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(y^2-4y+16\)
B \(y^2-8y+16\)
C \(y^2+8y+16\)
D \(y^2-16\)
Explanation opens after your attempt
Correct Answer
B. \(y^2-8y+16\)
Step 1
Concept
By ( (a-b)2 =a-2 -2ab+b-2 ) the middle term is negative. Exam tip: note that \(2\times y\times4=8y\).
Step 2
Why this answer is correct
The correct answer is B. \(y^2-8y+16\). By ( (a-b)2 =a-2 -2ab+b-2 ) the middle term is negative. Exam tip: note that \(2\times y\times4=8y\).
Step 3
Exam Tip
( (a-b)2 =a-2 -2ab+b-2 ) से बीच का पद ऋणात्मक होता है। परीक्षा में \(2\times y\times4=8y\) ध्यान रखें।
Login to save your score, XP, coins and progress. Login
\(36-x^2\) का सही गुणनखंडन क्या है?
What is the correct factorisation of \(36-x^2\)?
#difference of squares
#factorisation
#36 minus x square
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ( (x+6)(x-6) ) / क्रम उल्टा
B ( (6+x)(6-x) ) / सही गुणनखंड
C ( (36+x)(36-x) ) / वर्गमूल गलत
D ( (6-x)2 ) / पूर्ण वर्ग नहीं
Explanation opens after your attempt
Correct Answer
B. ( (6+x)(6-x) ) / सही गुणनखंड
Step 1
Concept
\(36-x^2=6^2-x^2\). Exam tip: identify both square roots in difference of squares.
Step 2
Why this answer is correct
The correct answer is B. ( (6+x)(6-x) ) / सही गुणनखंड. \(36-x^2=6^2-x^2\). Exam tip: identify both square roots in difference of squares.
Step 3
Exam Tip
\(36-x^2=6^2-x^2\) है। परीक्षा में वर्गों के अंतर में दोनों वर्गमूल पहचानें।
Login to save your score, XP, coins and progress. Login
( (p+7)(p-7) ) किसके बराबर है?
What is ( (p+7)(p-7) ) equal to?
#difference of squares
#product identity
#algebra
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(p^2+49\)
B \(p^2+14p+49\)
C \(p^2-49\)
D \(p^2-14p+49\)
Explanation opens after your attempt
Correct Answer
C. \(p^2-49\)
Step 1
Concept
This is the form ( (a+b)(a-b)=a-2 -b-2 ). Exam tip: identify difference of squares in opposite-sign factors.
Step 2
Why this answer is correct
The correct answer is C. \(p^2-49\). This is the form ( (a+b)(a-b)=a-2 -b-2 ). Exam tip: identify difference of squares in opposite-sign factors.
Step 3
Exam Tip
यह ( (a+b)(a-b)=a-2 -b-2 ) का रूप है। परीक्षा में विपरीत चिन्ह वाले पदों में अंतर वर्ग पहचानें।
Login to save your score, XP, coins and progress. Login
( (x+4)(x+6) ) में (x) का गुणांक क्या होगा?
What will be the coefficient of (x) in ( (x+4)(x+6) )?
#product identity
#coefficient
#x plus numbers
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (10) / स्थिर पदों का योग
B (24) / स्थिर पदों का गुणन
C (4) / पहला स्थिर पद
D (6) / दूसरा स्थिर पद
Explanation opens after your attempt
Correct Answer
A. (10) / स्थिर पदों का योग
Step 1
Concept
( (x+4)(x+6)=x-2 +10x+24 ). Exam tip: the coefficient of (x) comes from the sum of constants.
Step 2
Why this answer is correct
The correct answer is A. (10) / स्थिर पदों का योग. ( (x+4)(x+6)=x-2 +10x+24 ). Exam tip: the coefficient of (x) comes from the sum of constants.
Step 3
Exam Tip
( (x+4)(x+6)=x-2 +10x+24 ) होता है। परीक्षा में (x) का गुणांक स्थिर पदों के योग से मिलता है।
Login to save your score, XP, coins and progress. Login
( (m+2)2 ) में बीच का पद कौन सा है?
What is the middle term in ( (m+2)2 )?
#middle term
#binomial square
#easy algebra
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2m)
B \(m^2\)
C (4)
D (4m)
Explanation opens after your attempt
Step 1
Concept
The middle term is (2ab) so \(2\times m\times2=4m\). Exam tip: distinguish squares from the middle term.
Step 2
Why this answer is correct
The correct answer is D. (4m). The middle term is (2ab) so \(2\times m\times2=4m\). Exam tip: distinguish squares from the middle term.
Step 3
Exam Tip
बीच का पद (2ab) होता है इसलिए \(2\times m\times2=4m\)। परीक्षा में वर्ग और बीच का पद अलग पहचानें।
Login to save your score, XP, coins and progress. Login
\(49^2\) को ( (50-1)2 ) से निकालने पर मान क्या होगा?
Using ( (50-1)2 ), what is the value of \(49^2\)?
#mental math
#49 square
#square identity
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2501)
B (2500)
C (2400)
D (2401)
Explanation opens after your attempt
Step 1
Concept
\(49^2=2500-100+1=2401\). Exam tip: subtract (2ab) in the square of a difference.
Step 2
Why this answer is correct
The correct answer is D. (2401). \(49^2=2500-100+1=2401\). Exam tip: subtract (2ab) in the square of a difference.
Step 3
Exam Tip
\(49^2=2500-100+1=2401\) होता है। परीक्षा में घटाव वाले वर्ग में (2ab) घटाएँ।
Login to save your score, XP, coins and progress. Login
( (3a+b)2 ) का विस्तार क्या होगा?
What will be the expansion of ( (3a+b)2 )?
#binomial square
#algebraic expansion
#identity
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(9a^2+6ab+b^2\)
B \(3a^2+6ab+b^2\)
C \(9a^2+b^2\)
D \(9a^2-6ab+b^2\)
Explanation opens after your attempt
Correct Answer
A. \(9a^2+6ab+b^2\)
Step 1
Concept
The square of the first term is \(9a^2\) and the middle term is (6ab). Exam tip: write the square of (3a) as \(9a^2\).
Step 2
Why this answer is correct
The correct answer is A. \(9a^2+6ab+b^2\). The square of the first term is \(9a^2\) and the middle term is (6ab). Exam tip: write the square of (3a) as \(9a^2\).
Step 3
Exam Tip
पहले पद का वर्ग \(9a^2\) और बीच का पद (6ab) है। परीक्षा में (3a) का वर्ग \(9a^2\) लिखें।
Login to save your score, XP, coins and progress. Login
( (2m+3)2 ) में मध्य पद कौन-सा है?
What is the middle term in ( (2m+3)2 )?
#middle term
#binomial square
#2m plus 3
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (6m) / आधा पद
B (12m) / सही मध्य पद
C \(4m^2\) / पहला वर्ग
D (9) / अंतिम वर्ग
Explanation opens after your attempt
Correct Answer
B. (12m) / सही मध्य पद
Step 1
Concept
The middle term is \(2\cdot2m\cdot3=12m\). Exam tip: multiply both terms and then multiply by (2).
Step 2
Why this answer is correct
The correct answer is B. (12m) / सही मध्य पद. The middle term is \(2\cdot2m\cdot3=12m\). Exam tip: multiply both terms and then multiply by (2).
Step 3
Exam Tip
मध्य पद \(2\cdot2m\cdot3=12m\) है। परीक्षा में दोनों पदों को गुणा करके (2) से गुणा करें।
Login to save your score, XP, coins and progress. Login
( (2x-3)2 ) का सही रूप चुनिए।
Choose the correct form of ( (2x-3)2 ).
#minus square
#binomial identity
#expansion
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(4x^2+12x+9\)
B \(4x^2-12x+9\)
C \(2x^2-6x+9\)
D \(4x^2-9\)
Explanation opens after your attempt
Correct Answer
B. \(4x^2-12x+9\)
Step 1
Concept
In ( (a-b)2 ) the middle term is ( -2ab ). Exam tip: remember \(2\times2x\times3=12x\).
Step 2
Why this answer is correct
The correct answer is B. \(4x^2-12x+9\). In ( (a-b)2 ) the middle term is ( -2ab ). Exam tip: remember \(2\times2x\times3=12x\).
Step 3
Exam Tip
( (a-b)2 ) में बीच का पद ( -2ab ) होता है। परीक्षा में \(2\times2x\times3=12x\) याद रखें।
Login to save your score, XP, coins and progress. Login
\( 51^2 \) को ( (50+1)2 ) से निकालने पर मान क्या है?
What is the value of \( 51^2 \) using ( (50+1)2 )?
#numeric identity
#square calculation
#mental math
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2501)
B (2600)
C (2601)
D (2500)
Explanation opens after your attempt
Step 1
Concept
( (50+1)2 =2500+100+1=2601 ). Exam tip: identities make numerical squares faster.
Step 2
Why this answer is correct
The correct answer is C. (2601). ( (50+1)2 =2500+100+1=2601 ). Exam tip: identities make numerical squares faster.
Step 3
Exam Tip
( (50+1)2 =2500+100+1=2601 )। परीक्षा में संख्यात्मक वर्ग में पहचान से गणना तेज होती है।
Login to save your score, XP, coins and progress. Login
\( 49^2 \) को ( (50-1)2 ) से निकालिए।
Find \( 49^2 \) using ( (50-1)2 ).
#numeric square
#minus identity
#calculation
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2401)
B (2499)
C (2501)
D (2301)
Explanation opens after your attempt
Step 1
Concept
( (50-1)2 =2500-100+1=2401 ). Exam tip: the middle term is subtracted in ( (a-b)2 ).
Step 2
Why this answer is correct
The correct answer is A. (2401). ( (50-1)2 =2500-100+1=2401 ). Exam tip: the middle term is subtracted in ( (a-b)2 ).
Step 3
Exam Tip
( (50-1)2 =2500-100+1=2401 )। परीक्षा में ( (a-b)2 ) में बीच का पद घटता है।
Login to save your score, XP, coins and progress. Login
\( 103^2 \) का मान पहचान से क्या होगा?
What is the value of \( 103^2 \) using an identity?
#square calculation
#numeric identity
#algebra
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (10609)
B (10600)
C (10900)
D (10690)
Explanation opens after your attempt
Correct Answer
A. (10609)
Step 1
Concept
(103=100+3) so ( (100+3)2 =10609 ). Exam tip: split the number near an easy square.
Step 2
Why this answer is correct
The correct answer is A. (10609). (103=100+3) so ( (100+3)2 =10609 ). Exam tip: split the number near an easy square.
Step 3
Exam Tip
(103=100+3) इसलिए ( (100+3)2 =10609 )। परीक्षा में संख्या को पास के आसान वर्ग में तोड़ें।
Login to save your score, XP, coins and progress. Login
\( 98^2 \) को ( (100-2)2 ) से निकालने पर उत्तर क्या है?
What is the answer for \( 98^2 \) using ( (100-2)2 )?
#numeric square
#algebraic identity
#mental calculation
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (9804)
B (9604)
C (9404)
D (10004)
Explanation opens after your attempt
Step 1
Concept
( (100-2)2 =10000-400+4=9604 ). Exam tip: keep the subtracted middle term correct.
Step 2
Why this answer is correct
The correct answer is B. (9604). ( (100-2)2 =10000-400+4=9604 ). Exam tip: keep the subtracted middle term correct.
Step 3
Exam Tip
( (100-2)2 =10000-400+4=9604 )। परीक्षा में घटाने वाले बीच के पद को सही रखें।
Login to save your score, XP, coins and progress. Login
( (x+8)2 -x-2 ) को सरल कीजिए।
Simplify ( (x+8)2 -x-2 ).
#simplification
#square identity
#like terms
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (8x+64)
B (16x+8)
C (16x+64)
D \(x^2+64\)
Explanation opens after your attempt
Correct Answer
C. (16x+64)
Step 1
Concept
( (x+8)2 =x-2 +16x+64 ) and then \(x^2\) cancels. Exam tip: do not forget to cancel like terms.
Step 2
Why this answer is correct
The correct answer is C. (16x+64). ( (x+8)2 =x-2 +16x+64 ) and then \(x^2\) cancels. Exam tip: do not forget to cancel like terms.
Step 3
Exam Tip
( (x+8)2 =x-2 +16x+64 ) से \(x^2\) घटता है। परीक्षा में समान पदों को काटना न भूलें।
Login to save your score, XP, coins and progress. Login
( (a+6)2 -(a-6)2 ) का सरल रूप क्या है?
What is the simplified form of ( (a+6)2 -(a-6)2 )?
#difference of squares
#simplification
#algebra
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (12a)
B (24a)
C (36a)
D \(a^2+36\)
Explanation opens after your attempt
Step 1
Concept
On expansion \(a^2+12a+36-a^2+12a-36=24a\). Exam tip: apply the minus sign to the whole bracket.
Step 2
Why this answer is correct
The correct answer is B. (24a). On expansion \(a^2+12a+36-a^2+12a-36=24a\). Exam tip: apply the minus sign to the whole bracket.
Step 3
Exam Tip
विस्तार करने पर \(a^2+12a+36-a^2+12a-36=24a\) मिलता है। परीक्षा में ऋण चिन्ह पूरे कोष्ठक पर लागू करें।
Login to save your score, XP, coins and progress. Login
( (r+9)(r-9) ) का गुणनफल क्या है?
What is the product of ( (r+9)(r-9) )?
#product identity
#difference of squares
#binomial
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(r^2+81\)
B \(r^2-18r+81\)
C \(r^2-81\)
D \(r^2+18r+81\)
Explanation opens after your attempt
Correct Answer
C. \(r^2-81\)
Step 1
Concept
This is the \(a^2-b^2\) form. Exam tip: remember \(9^2=81\).
Step 2
Why this answer is correct
The correct answer is C. \(r^2-81\). This is the \(a^2-b^2\) form. Exam tip: remember \(9^2=81\).
Step 3
Exam Tip
यह \(a^2-b^2\) वाला रूप है। परीक्षा में \(9^2=81\) ध्यान रखें।
Login to save your score, XP, coins and progress. Login
\( 72\times68 \) को पहचान से निकालिए।
Find \( 72\times68 \) using an identity.
#difference of squares
#numeric product
#identity
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (4896)
B (4900)
C (4800)
D (4796)
Explanation opens after your attempt
Step 1
Concept
(72\times68=(70+2)(70-2)=702 -22 =4896). Exam tip: choose the nearby common number.
Step 2
Why this answer is correct
The correct answer is A. (4896). (72\times68=(70+2)(70-2)=702 -22 =4896). Exam tip: choose the nearby common number.
Step 3
Exam Tip
(72\times68=(70+2)(70-2)=702 -22 =4896)। परीक्षा में पास की समान संख्या चुनें।
Login to save your score, XP, coins and progress. Login
\( 64^2-36^2 \) का मान क्या है?
What is the value of \( 64^2-36^2 \)?
#difference of squares
#numeric value
#identity
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (1800)
B (2800)
C (3000)
D (2000)
Explanation opens after your attempt
Step 1
Concept
Using (a-2 -b-2 =(a+b)(a-b)), we get \(100\times28=2800\). Exam tip: convert difference of squares into a product.
Step 2
Why this answer is correct
The correct answer is B. (2800). Using (a-2 -b-2 =(a+b)(a-b)), we get \(100\times28=2800\). Exam tip: convert difference of squares into a product.
Step 3
Exam Tip
(a-2 -b-2 =(a+b)(a-b)) से \(100\times28=2800\)। परीक्षा में अंतर वर्ग को गुणनफल में बदलें।
Login to save your score, XP, coins and progress. Login
\( x^2+12x+36 \) किसका वर्ग है?
\( x^2+12x+36 \) is the square of what?
#perfect square
#factorization
#algebra
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ( (x+12)2 )
B ( (x-6)2 )
C ( (x+6)2 )
D ( (x-12)2 )
Explanation opens after your attempt
Correct Answer
C. ( (x+6)2 )
Step 1
Concept
It is \(x^2+2\times x\times6+6^2\). Exam tip: use the square root of the last term to identify the bracket.
Step 2
Why this answer is correct
The correct answer is C. ( (x+6)2 ). It is \(x^2+2\times x\times6+6^2\). Exam tip: use the square root of the last term to identify the bracket.
Step 3
Exam Tip
यह \(x^2+2\times x\times6+6^2\) है। परीक्षा में अंतिम पद के वर्गमूल से कोष्ठक पहचानें।
Login to save your score, XP, coins and progress. Login
\( t^2-14t+49 \) किसके बराबर है?
What is \( t^2-14t+49 \) equal to?
#perfect square
#minus square
#factorization
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ( (t+7)2 )
B ( (t-7)2 )
C ( (t-14)2 )
D ( (t+49)2 )
Explanation opens after your attempt
Correct Answer
B. ( (t-7)2 )
Step 1
Concept
It is \(t^2-2\times t\times7+7^2\). Exam tip: choose ( (a-b)2 ) when the middle term is negative.
Step 2
Why this answer is correct
The correct answer is B. ( (t-7)2 ). It is \(t^2-2\times t\times7+7^2\). Exam tip: choose ( (a-b)2 ) when the middle term is negative.
Step 3
Exam Tip
यह \(t^2-2\times t\times7+7^2\) है। परीक्षा में बीच का ऋण चिन्ह देखकर ( (a-b)2 ) चुनें।
Login to save your score, XP, coins and progress. Login
\( x^2-64 \) का गुणनखंड रूप क्या है?
What is the factor form of \( x^2-64 \)?
#factorization
#difference of squares
#algebraic identities
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ( (x+8)2 )
B ( (x-8)2 )
C ( (x+64)(x-1) )
D ( (x+8)(x-8) )
Explanation opens after your attempt
Correct Answer
D. ( (x+8)(x-8) )
Step 1
Concept
Since \(64=8^2\), (x-2 -64=(x+8)(x-8)). Exam tip: identify difference of squares quickly.
Step 2
Why this answer is correct
The correct answer is D. ( (x+8)(x-8) ). Since \(64=8^2\), (x-2 -64=(x+8)(x-8)). Exam tip: identify difference of squares quickly.
Step 3
Exam Tip
\(64=8^2\) इसलिए (x-2 -64=(x+8)(x-8))। परीक्षा में अंतर वर्ग तुरंत पहचानें।
Login to save your score, XP, coins and progress. Login
\( 4x^2-25 \) का गुणनखंड क्या है?
What are the factors of \( 4x^2-25 \)?
#difference of squares
#factorization
#identity
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ( (2x+5)(2x-5) )
B ( (4x+5)(x-5) )
C ( (2x-5)2 )
D ( (x+5)(x-5) )
Explanation opens after your attempt
Correct Answer
A. ( (2x+5)(2x-5) )
Step 1
Concept
(4x-2 =(2x)2 ) and \(25=5^2\). Exam tip: write both terms as squares.
Step 2
Why this answer is correct
The correct answer is A. ( (2x+5)(2x-5) ). (4x-2 =(2x)2 ) and \(25=5^2\). Exam tip: write both terms as squares.
Step 3
Exam Tip
(4x-2 =(2x)2 ) और \(25=5^2\) है। परीक्षा में दोनों पदों को वर्ग के रूप में लिखें।
Login to save your score, XP, coins and progress. Login
( (x+3)(x-4) ) का सही विस्तार कौन सा है?
Which is the correct expansion of ( (x+3)(x-4) )?
#product identity
#signed terms
#expansion
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^2+x-12\)
B \(x^2-x-12\)
C \(x^2+7x-12\)
D \(x^2-12\)
Explanation opens after your attempt
Correct Answer
B. \(x^2-x-12\)
Step 1
Concept
(3+(-4)=-1) and \(3\times(-4)=-12\). Exam tip: be careful while adding negative numbers.
Step 2
Why this answer is correct
The correct answer is B. \(x^2-x-12\). (3+(-4)=-1) and \(3\times(-4)=-12\). Exam tip: be careful while adding negative numbers.
Step 3
Exam Tip
(3+(-4)=-1) और \(3\times(-4)=-12\)। परीक्षा में ऋण संख्या जोड़ते समय सावधान रहें।
Login to save your score, XP, coins and progress. Login
( (x-6)(x-2) ) का विस्तार क्या होगा?
What will be the expansion of ( (x-6)(x-2) )?
#binomial product
#negative terms
#expansion
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^2-8x+12\)
B \(x^2+8x+12\)
C \(x^2-4x-12\)
D \(x^2-12x+8\)
Explanation opens after your attempt
Correct Answer
A. \(x^2-8x+12\)
Step 1
Concept
((-6)+(-2)=-8) and ((-6)(-2)=12). Exam tip: product of two negative terms is positive.
Step 2
Why this answer is correct
The correct answer is A. \(x^2-8x+12\). ((-6)+(-2)=-8) and ((-6)(-2)=12). Exam tip: product of two negative terms is positive.
Step 3
Exam Tip
((-6)+(-2)=-8) और ((-6)(-2)=12)। परीक्षा में दो ऋण पदों का गुणन धनात्मक होता है।
Login to save your score, XP, coins and progress. Login
( (z+1)(z+9) ) में (z) का गुणांक क्या है?
What is the coefficient of (z) in ( (z+1)(z+9) )?
#coefficient
#product identity
#algebra
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (9)
B (1)
C (10)
D (90)
Explanation opens after your attempt
Step 1
Concept
( (z+1)(z+9)=z-2 +10z+9 ). Exam tip: the coefficient of (z) comes from the sum of the constants.
Step 2
Why this answer is correct
The correct answer is C. (10). ( (z+1)(z+9)=z-2 +10z+9 ). Exam tip: the coefficient of (z) comes from the sum of the constants.
Step 3
Exam Tip
( (z+1)(z+9)=z-2 +10z+9 ) होता है। परीक्षा में (z) का गुणांक दोनों स्थिर पदों के योग से मिलता है।
Login to save your score, XP, coins and progress. Login
( (x+y+z)2 ) में (2xy) के साथ कौन से और मिश्र पद आते हैं?
In ( (x+y+z)2 ), which other mixed terms come with (2xy)?
#three term identity
#mixed terms
#algebra
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2xz) और (2yz) / (2xz) and (2yz)
B \(x^2\) और \(y^2\) / \(x^2\) and \(y^2\)
C \(z^2\) और (xy) / \(z^2\) and (xy)
D (xyz) और (x+y) / (xyz) and (x+y)
Explanation opens after your attempt
Correct Answer
A. (2xz) और (2yz) / (2xz) and (2yz)
Step 1
Concept
In the square of three terms, mixed terms are (2xy), (2yz), and (2zx). Exam tip: include all pairs.
Step 2
Why this answer is correct
The correct answer is A. (2xz) और (2yz) / (2xz) and (2yz). In the square of three terms, mixed terms are (2xy), (2yz), and (2zx). Exam tip: include all pairs.
Step 3
Exam Tip
तीन पदों के वर्ग में मिश्र पद (2xy), (2yz), और (2zx) होते हैं। परीक्षा में सभी जोड़ों को शामिल करें।
Login to save your score, XP, coins and progress. Login
( (a+b+c)2 ) का सही विस्तार कौन सा है?
Which is the correct expansion of ( (a+b+c)2 )?
#three term square
#algebraic identity
#expansion
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(a^2+b^2+c^2+2ab+2bc+2ca\)
B \(a^2+b^2+c^2+abc\)
C \(a^2+b^2+c^2+ab+bc+ca\)
D \(a^2-b^2+c^2\)
Explanation opens after your attempt
Correct Answer
A. \(a^2+b^2+c^2+2ab+2bc+2ca\)
Step 1
Concept
Each pair gives a double mixed term in three terms. Exam tip: do not miss (2ab), (2bc), and (2ca).
Step 2
Why this answer is correct
The correct answer is A. \(a^2+b^2+c^2+2ab+2bc+2ca\). Each pair gives a double mixed term in three terms. Exam tip: do not miss (2ab), (2bc), and (2ca).
Step 3
Exam Tip
तीन पदों में प्रत्येक जोड़े का दुगुना मिश्र पद आता है। परीक्षा में (2ab), (2bc), और (2ca) न छोड़ें।
Login to save your score, XP, coins and progress. Login
( (x+1)2 ) और \(x^2+1\) में क्या अंतर है?
What is the difference between ( (x+1)2 ) and \(x^2+1\)?
#middle term
#common mistake
#binomial square
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (x)
B (2x)
C (1)
D \(x^2\)
Explanation opens after your attempt
Step 1
Concept
( (x+1)2 =x-2 +2x+1 ), so the difference is (2x). Exam tip: do not forget the middle term while expanding.
Step 2
Why this answer is correct
The correct answer is B. (2x). ( (x+1)2 =x-2 +2x+1 ), so the difference is (2x). Exam tip: do not forget the middle term while expanding.
Step 3
Exam Tip
( (x+1)2 =x-2 +2x+1 ) है इसलिए अंतर (2x) है। परीक्षा में वर्ग खोलते समय बीच का पद न भूलें।
Login to save your score, XP, coins and progress. Login
( (5x+2)2 ) में स्थिर पद क्या है?
What is the constant term in ( (5x+2)2 )?
#constant term
#square expansion
#algebra
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(25x^2\)
B (20x)
C (4)
D (10x)
Explanation opens after your attempt
Step 1
Concept
The constant term is \(2^2=4\). Exam tip: a constant term has no (x).
Step 2
Why this answer is correct
The correct answer is C. (4). The constant term is \(2^2=4\). Exam tip: a constant term has no (x).
Step 3
Exam Tip
स्थिर पद \(2^2=4\) होता है। परीक्षा में स्थिर पद वह होता है जिसमें (x) न हो।
Login to save your score, XP, coins and progress. Login
( (4p-1)2 ) में (p) वाला पद कौन सा है?
Which term contains (p) in ( (4p-1)2 )?
#middle term
#negative sign
#binomial square
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (8p)
B (-8p)
C \(16p^2\)
D (1)
Explanation opens after your attempt
Step 1
Concept
The middle term is \(-2\times4p\times1=-8p\). Exam tip: the sign is very important in a subtraction square.
Step 2
Why this answer is correct
The correct answer is B. (-8p). The middle term is \(-2\times4p\times1=-8p\). Exam tip: the sign is very important in a subtraction square.
Step 3
Exam Tip
बीच का पद \(-2\times4p\times1=-8p\) है। परीक्षा में घटाव वाले वर्ग में चिन्ह बहुत महत्वपूर्ण है।
Login to save your score, XP, coins and progress. Login
\( 1002^2 \) निकालने के लिए कौन सा रूप सबसे उपयोगी है?
Which form is most useful to find \( 1002^2 \)?
#numeric identity
#square method
#easy calculation
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ( (1000+2)2 )
B ( (1000-2)2 )
C ( (100+2)2 )
D ( (10+2)2 )
Explanation opens after your attempt
Correct Answer
A. ( (1000+2)2 )
Step 1
Concept
Writing (1002) as (1000+2) is easy. Exam tip: connect a large number to a nearby simple number.
Step 2
Why this answer is correct
The correct answer is A. ( (1000+2)2 ). Writing (1002) as (1000+2) is easy. Exam tip: connect a large number to a nearby simple number.
Step 3
Exam Tip
(1002) को (1000+2) लिखना आसान है। परीक्षा में बड़ी संख्या को निकट सरल संख्या से जोड़ें।
Login to save your score, XP, coins and progress. Login
\( 999^2 \) निकालने के लिए कौन सा रूप सही है?
Which form is correct to find \( 999^2 \)?
#numeric square
#minus square
#identity
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ( (900+99)2 )
B ( (1000-1)2 )
C ( (1000+1)2 )
D ( (99+9)2 )
Explanation opens after your attempt
Correct Answer
B. ( (1000-1)2 )
Step 1
Concept
Write (999) as (1000-1) and use ( (a-b)2 ). Exam tip: choosing the nearest simple number is faster.
Step 2
Why this answer is correct
The correct answer is B. ( (1000-1)2 ). Write (999) as (1000-1) and use ( (a-b)2 ). Exam tip: choosing the nearest simple number is faster.
Step 3
Exam Tip
(999) को (1000-1) लिखकर ( (a-b)2 ) लगाएँ। परीक्षा में निकटतम सरल संख्या चुनना तेज तरीका है।
Login to save your score, XP, coins and progress. Login
( (u+v)(u-v) ) में कौन सा पद नहीं आता?
Which term does not appear in ( (u+v)(u-v) )?
#difference of squares
#cancel terms
#identity
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(u^2\)
B \(-v^2\)
C (uv)
D \(u^2-v^2\)
Explanation opens after your attempt
Step 1
Concept
The middle (uv) terms cancel. Exam tip: mixed terms do not remain in opposite-sign products.
Step 2
Why this answer is correct
The correct answer is C. (uv). The middle (uv) terms cancel. Exam tip: mixed terms do not remain in opposite-sign products.
Step 3
Exam Tip
मध्य के (uv) पद कट जाते हैं। परीक्षा में विपरीत चिन्ह वाले गुणन में मिश्र पद नहीं बचता।
Login to save your score, XP, coins and progress. Login
( (q+10)2 ) में \(q^2\) और (100) के अलावा कौन सा पद आएगा?
In ( (q+10)2 ), which term comes besides \(q^2\) and (100)?
#middle term
#square identity
#algebra
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (10q)
B (20q)
C (100q)
D (q)
Explanation opens after your attempt
Step 1
Concept
The middle term is \(2\times q\times10=20q\). Exam tip: remember to multiply by two.
Step 2
Why this answer is correct
The correct answer is B. (20q). The middle term is \(2\times q\times10=20q\). Exam tip: remember to multiply by two.
Step 3
Exam Tip
बीच का पद \(2\times q\times10=20q\) है। परीक्षा में दो गुना गुणन करना याद रखें।
Login to save your score, XP, coins and progress. Login
( (n-11)2 ) में अंतिम पद क्या होगा?
What will be the last term in ( (n-11)2 )?
#last term
#minus square
#algebraic identity
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (11n)
B (-121)
C (121)
D (-22n)
Explanation opens after your attempt
Step 1
Concept
The last term \(11^2=121\) is always positive. Exam tip: the square term remains positive.
Step 2
Why this answer is correct
The correct answer is C. (121). The last term \(11^2=121\) is always positive. Exam tip: the square term remains positive.
Step 3
Exam Tip
अंतिम पद \(11^2=121\) हमेशा धनात्मक होता है। परीक्षा में वर्ग का चिन्ह धनात्मक रहता है।
Login to save your score, XP, coins and progress. Login
( (2a+3b)2 ) में मिश्र पद क्या है?
What is the mixed term in ( (2a+3b)2 )?
#mixed term
#binomial square
#coefficients
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (5ab)
B (6ab)
C (12ab)
D \(9b^2\)
Explanation opens after your attempt
Step 1
Concept
The mixed term is \(2\times2a\times3b=12ab\). Exam tip: multiply the coefficients too.
Step 2
Why this answer is correct
The correct answer is C. (12ab). The mixed term is \(2\times2a\times3b=12ab\). Exam tip: multiply the coefficients too.
Step 3
Exam Tip
मिश्र पद \(2\times2a\times3b=12ab\) है। परीक्षा में गुणांक भी साथ गुणा करें।
Login to save your score, XP, coins and progress. Login
( (3x-2y)2 ) का विस्तार क्या है?
What is the expansion of ( (3x-2y)2 )?
#binomial square
#two variables
#expansion
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(9x^2-12xy+4y^2\)
B \(9x^2+12xy+4y^2\)
C \(3x^2-12xy+2y^2\)
D \(9x^2-4y^2\)
Explanation opens after your attempt
Correct Answer
A. \(9x^2-12xy+4y^2\)
Step 1
Concept
In ( (a-b)2 ) the mixed term is negative. Exam tip: write ((3x)2 =9x-2 ) and ((2y)2 =4y-2 ).
Step 2
Why this answer is correct
The correct answer is A. \(9x^2-12xy+4y^2\). In ( (a-b)2 ) the mixed term is negative. Exam tip: write ((3x)2 =9x-2 ) and ((2y)2 =4y-2 ).
Step 3
Exam Tip
( (a-b)2 ) में मिश्र पद ऋणात्मक होता है। परीक्षा में ((3x)2 =9x-2 ) और ((2y)2 =4y-2 ) लिखें।
Login to save your score, XP, coins and progress. Login
( (5m+4n)(5m-4n) ) का मान क्या है?
What is the value of ( (5m+4n)(5m-4n) )?
#difference of squares
#two variables
#product
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(25m^2+16n^2\)
B \(25m^2-16n^2\)
C (10m-8n)
D \(25m^2-40mn+16n^2\)
Explanation opens after your attempt
Correct Answer
B. \(25m^2-16n^2\)
Step 1
Concept
This is a direct use of \(a^2-b^2\). Exam tip: use ((5m)2 =25m-2 ) and ((4n)2 =16n-2 ).
Step 2
Why this answer is correct
The correct answer is B. \(25m^2-16n^2\). This is a direct use of \(a^2-b^2\). Exam tip: use ((5m)2 =25m-2 ) and ((4n)2 =16n-2 ).
Step 3
Exam Tip
यह \(a^2-b^2\) का सीधा प्रयोग है। परीक्षा में ((5m)2 =25m-2 ) और ((4n)2 =16n-2 ) करें।
Login to save your score, XP, coins and progress. Login
\( x^2+18x+81 \) का वर्ग रूप कौन सा है?
Which square form represents \( x^2+18x+81 \)?
#perfect square
#recognition
#algebraic identity
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ( (x+9)2 )
B ( (x-9)2 )
C ( (x+18)2 )
D ( (x+81)2 )
Explanation opens after your attempt
Correct Answer
A. ( (x+9)2 )
Step 1
Concept
\(81=9^2\) and the middle term \(18x=2\times x\times9\). Exam tip: identify the number from the last term.
Step 2
Why this answer is correct
The correct answer is A. ( (x+9)2 ). \(81=9^2\) and the middle term \(18x=2\times x\times9\). Exam tip: identify the number from the last term.
Step 3
Exam Tip
\(81=9^2\) और बीच का पद \(18x=2\times x\times9\) है। परीक्षा में अंतिम पद से संख्या पहचानें।
Login to save your score, XP, coins and progress. Login
\( k^2-20k+100 \) किसका वर्ग है?
\( k^2-20k+100 \) is the square of what?
#perfect square
#minus identity
#factorization
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ( (k+20)2 )
B ( (k-10)2 )
C ( (k+10)2 )
D ( (k-100)2 )
Explanation opens after your attempt
Correct Answer
B. ( (k-10)2 )
Step 1
Concept
\(100=10^2\) and the middle term is \(-20k=-2\times k\times10\). Exam tip: identify the negative middle term.
Step 2
Why this answer is correct
The correct answer is B. ( (k-10)2 ). \(100=10^2\) and the middle term is \(-20k=-2\times k\times10\). Exam tip: identify the negative middle term.
Step 3
Exam Tip
\(100=10^2\) और बीच का पद \(-20k=-2\times k\times10\) है। परीक्षा में ऋणात्मक बीच का पद पहचानें।
Login to save your score, XP, coins and progress. Login
\( 37^2-27^2 \) का मान क्या है?
What is the value of \( 37^2-27^2 \)?
#numeric difference
#square identity
#calculation
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (540)
B (600)
C (640)
D (720)
Explanation opens after your attempt
Step 1
Concept
(372 -272 =(37+27)(37-27)=64\times10=640). Exam tip: difference of squares makes multiplication easy.
Step 2
Why this answer is correct
The correct answer is C. (640). (372 -272 =(37+27)(37-27)=64\times10=640). Exam tip: difference of squares makes multiplication easy.
Step 3
Exam Tip
(372 -272 =(37+27)(37-27)=64\times10=640)। परीक्षा में अंतर वर्ग से गुणा आसान होता है।
Login to save your score, XP, coins and progress. Login
\( 45\times55 \) को किस पहचान से जल्दी निकाला जा सकता है?
Which identity can quickly find \( 45\times55 \)?
#numeric product
#difference of squares
#identity choice
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ( (a+b)2 )
B ( (a-b)2 )
C ( (a+b)(a-b)=a-2 -b-2 )
D ( (a+b+c)2 )
Explanation opens after your attempt
Correct Answer
C. ( (a+b)(a-b)=a-2 -b-2 )
Step 1
Concept
(45\times55=(50-5)(50+5)). Exam tip: use difference of squares for numbers around the same centre.
Step 2
Why this answer is correct
The correct answer is C. ( (a+b)(a-b)=a-2 -b-2 ). (45\times55=(50-5)(50+5)). Exam tip: use difference of squares for numbers around the same centre.
Step 3
Exam Tip
(45\times55=(50-5)(50+5)) है। परीक्षा में समान केंद्र वाली संख्याएँ अंतर वर्ग से करें।
Login to save your score, XP, coins and progress. Login
( (a+2b+c)2 ) में \(4b^2\) किससे आता है?
In ( (a+2b+c)2 ), where does \(4b^2\) come from?
#three term square
#coefficient square
#identity
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(a^2\) से / From \(a^2\)
B ((2b)2 ) से / From ((2b)2 )
C \(c^2\) से / From \(c^2\)
D (2ac) से / From (2ac)
Explanation opens after your attempt
Correct Answer
B. ((2b)2 ) से / From ((2b)2 )
Step 1
Concept
The square of (2b) is ((2b)2 =4b-2 ). Exam tip: square the coefficient too.
Step 2
Why this answer is correct
The correct answer is B. ((2b)2 ) से / From ((2b)2 ). The square of (2b) is ((2b)2 =4b-2 ). Exam tip: square the coefficient too.
Step 3
Exam Tip
(2b) का वर्ग ((2b)2 =4b-2 ) होता है। परीक्षा में गुणांक का भी वर्ग करें।
Login to save your score, XP, coins and progress. Login
( (x+y+2)2 ) में स्थिर पद क्या होगा?
What will be the constant term in ( (x+y+2)2 )?
#constant term
#three term square
#algebra
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2)
B (4)
C (2x)
D (4xy)
Explanation opens after your attempt
Step 1
Concept
The constant term is \(2^2=4\). Exam tip: the term containing only a number is called the constant term.
Step 2
Why this answer is correct
The correct answer is B. (4). The constant term is \(2^2=4\). Exam tip: the term containing only a number is called the constant term.
Step 3
Exam Tip
स्थिर पद \(2^2=4\) है। परीक्षा में केवल संख्या वाले पद को स्थिर पद कहते हैं।
Login to save your score, XP, coins and progress. Login
( (x-3)(x+3)+9 ) को सरल कीजिए।
Simplify ( (x-3)(x+3)+9 ).
#simplification
#difference of squares
#algebra
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A \(x^2\)
B \(x^2-9\)
C \(x^2+9\)
D \(x^2+18\)
Explanation opens after your attempt
Correct Answer
A. \(x^2\)
Step 1
Concept
( (x-3)(x+3)=x-2 -9 ) and then (+9) gives \(x^2\). Exam tip: identify the product first.
Step 2
Why this answer is correct
The correct answer is A. \(x^2\). ( (x-3)(x+3)=x-2 -9 ) and then (+9) gives \(x^2\). Exam tip: identify the product first.
Step 3
Exam Tip
( (x-3)(x+3)=x-2 -9 ) और फिर (+9) से \(x^2\) मिलता है। परीक्षा में पहले गुणनफल पहचानें।
Login to save your score, XP, coins and progress. Login
( (2x+1)2 -(2x-1)2 ) का मान क्या है?
What is the value of ( (2x+1)2 -(2x-1)2 )?
#difference of squares
#identity shortcut
#simplification
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (2x)
B (4x)
C (8x)
D (16x)
Explanation opens after your attempt
Step 1
Concept
This is (4ab) where (a=2x) and (b=1). Exam tip: calculate \(4\times2x\times1=8x\).
Step 2
Why this answer is correct
The correct answer is C. (8x). This is (4ab) where (a=2x) and (b=1). Exam tip: calculate \(4\times2x\times1=8x\).
Step 3
Exam Tip
यह (4ab) है जहाँ (a=2x) और (b=1)। परीक्षा में \(4\times2x\times1=8x\) करें।
Login to save your score, XP, coins and progress. Login
( (x+7)(x+7) ) को पहचान के रूप में कैसे लिखेंगे?
How will you write ( (x+7)(x+7) ) as an identity form?
#square form
#binomial
#identity recognition
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A ( (x+7)2 )
B ( (x-7)2 )
C \(x^2-49\)
D ( (x+7)(x-7) )
Explanation opens after your attempt
Correct Answer
A. ( (x+7)2 )
Step 1
Concept
The product of two identical factors is a square. Exam tip: treat ( (x+7)(x+7) ) as ( (x+7)2 ).
Step 2
Why this answer is correct
The correct answer is A. ( (x+7)2 ). The product of two identical factors is a square. Exam tip: treat ( (x+7)(x+7) ) as ( (x+7)2 ).
Step 3
Exam Tip
समान दो गुणनखंडों का गुणन वर्ग होता है। परीक्षा में ( (x+7)(x+7) ) को ( (x+7)2 ) मानें।
Login to save your score, XP, coins and progress. Login
( (a-b)2 ) और \(a^2-b^2\) में मुख्य अंतर क्या है?
What is the main difference between ( (a-b)2 ) and \(a^2-b^2\)?
#common mistake
#minus square
#difference of squares
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A दोनों हमेशा समान हैं / Both are always same
B ( (a-b)2 ) में (-2ab) पद होता है पर \(a^2-b^2\) में नहीं / ( (a-b)2 ) has (-2ab) term but \(a^2-b^2\) does not
C \(a^2-b^2\) में (+2ab) होता है / \(a^2-b^2\) has (+2ab)
D दोनों में कोई वर्ग पद नहीं होता / Neither has square terms
Explanation opens after your attempt
Correct Answer
B. ( (a-b)2 ) में (-2ab) पद होता है पर \(a^2-b^2\) में नहीं / ( (a-b)2 ) has (-2ab) term but \(a^2-b^2\) does not
Step 1
Concept
( (a-b)2 =a-2 -2ab+b-2 ) while (a-2 -b-2 =(a+b)(a-b)). Exam tip: keep square of bracket and difference of squares separate.
Step 2
Why this answer is correct
The correct answer is B. ( (a-b)2 ) में (-2ab) पद होता है पर \(a^2-b^2\) में नहीं / ( (a-b)2 ) has (-2ab) term but \(a^2-b^2\) does not. ( (a-b)2 =a-2 -2ab+b-2 ) while (a-2 -b-2 =(a+b)(a-b)). Exam tip: keep square of bracket and difference of squares separate.
Step 3
Exam Tip
( (a-b)2 =a-2 -2ab+b-2 ) जबकि (a-2 -b-2 =(a+b)(a-b)) है। परीक्षा में कोष्ठक के वर्ग और अंतर वर्ग को अलग रखें।
Login to save your score, XP, coins and progress. Login
