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Question

Using an identity expand :
(2y+5)(2y+5)


A

4y2+10y+25

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B

4y2+20y+25

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C

4y2+20y+15

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D

y2+20y+25

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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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