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

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Question

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

Options:

A .

4 y^{2} + 10 y + 25

B .

4 y^{2} + 20 y + 25

C .

4 y^{2} + 20 y + 15

D .

y^{2} + 20 y + 25

Answer: Option B
:
B

We know that,
$(a + b) \times (a + b) = (a + b)^{2}$
Using the identity
$(a + b)^{2} = a^{2} + 2 a b + b^{2}$ ,
$(2 y + 5) (2 y + 5) = (2 y + 5)^{2}$
$= (2 y)^{2} + 2 (2 y) (5) + 5^{2}$
$= 4 y^{2} + 20 y + 25$

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