Question

Factorise the following
(i) x2 + 4x + 4​

Answer 1

$\huge \blue {Answer}$

✯ x² + 4x + 4

➜ x² + 2x + 2x + 4

➜ x(x + 2) + 2(x + 2)

➜ (x + 2)(x + 2)

➜ (x + 2)²

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OR

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✯ x² + 4x + 4

➜ x² + 4 + 4x

➜ x² + (2)² + 2×x×2

By using identinty:-

a² + b² + 2ab = (a + b)²

➜ x² + (2)² + 2×x×2 = (x + 2)²

Therefore, answer is (x + 2)²

Answer 2

x2 + 4x + 4​

=4x+4x+4 . 1

=4x(x+x+1)

=4(2x+1)