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Question

Using a suitable identity, we can find out that (2y+5)(2y+5) is equal to

A
4y2+10y+25
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B
4y2+20y+25
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C
4y2+20y+15
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Solution

The correct option is B 4y2+20y+25
We know that,
(a+b)×(a+b)=(a+b)2

Using the identity
(a+b)2=a2+2ab+b2,

(2y+5)(2y+5)=(2y+5)2
=(2y)2+2(2y)(5)+52
=4y2+20y+25

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