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Question

Simplify the expression:
(a+b)2+(ab)2

A
2(a2+b2)
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B
(a2+b2)
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C
2(a2b2)
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D
(a2b2)
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Solution

The correct option is A 2(a2+b2)
The above expression can be written as,
(a+b)2+(ab)2
=(a2+2ab+b2)+(a22ab+b2)
Rearranging the terms, we get,
a2+a2+2ab2ab+b2+b2
=2a2+2b2
=2(a2+b2)

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