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Q.

Factorise the given expression 4x2 + 4x + 1, using the identity (a + b)2 = a2 + 2ab + b2.

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a

(2x − 2)2

b

(2x − 1)2

c

(2x + 2)2

d

(2x + 1)2

answer is D.

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Detailed Solution

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The given expression 4x2 + 4x + 1 can be written as,

4x2 + 4x + 1 = (2x)2 + 2(2x)(1) + (1)2

On comparing it with the identity (a + b)2 = a2 + 2ab + b2, we get

a = 2x and b = 1

Therefore, 4x2 + 4x + 1 = (2x + 1)2

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