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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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