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Question

Expand (2x+4y)2 using algebraic identity.

A
x2+8xy+16y2
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B
4x2+16xy+16y2
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C
2x2+8xy+4y2
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D
x2+y2+2xy
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Solution

The correct option is B 4x2+16xy+16y2
We know
(x+y)2=x2+2xy+y2
Comparing the given expression with (x+y)2, we have
x=2x,y=4y
(2x+4y)2=(2x)2+2(2x)(4y)+(4y)2
4x2+16xy+16y2

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