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Question

(a+b)2−(a−b)2=_______.

A
- 4ab
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B
- 2ab
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C
2a2+2b2
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D
4ab
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Solution

The correct option is D 4ab
We know that,
(a+b)2=a2+b2+2ab and
(ab)2=a2+b22ab
(a+b)2(ab)2=a2+b2+2ab(a2+b22ab)
=(a2a2)+(b2b2)+(2ab+2ab)=4ab

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Algebraic Identity: (a + b)^2 = a^2 + b^2 + 2ab
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