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Question

The expansion of (x+2y)2 is:

A
4x2 + 4xy + 4y2
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B
x2 + 4xy + 4y2
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C
x2 + 14xy + 4y2
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D
x2 + 4xy + 16y2
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Solution

The correct option is B x2 + 4xy + 4y2
Using the identity (a+b)2 = a2 + 2ab + b2
(x+2y)2 = x2 + 2(x)(2y) + (2y)2 = x2 + 4xy + 4y2.

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