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Question

If 2(a2+b2) =(a+b)2, then ______________________ .


A

a + b = 0

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B

2a = b

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C

a = b

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D

a = 2b

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Solution

The correct option is C

a = b


If we expand the RHS, we see that (a+b)2 = a2+b2 + 2ab which is equal to the LHS 2a2+2b2

Equating both the terms, taking all terms on the LHS, we get a2+b2 – 2ab = 0 which is nothing but the expansion of the expression (ab)2= 0.

(ab)2 can be equal to 0 only if a = b.


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