Question 89 (iv)

Factorise the following, using the identity, $a^{2} + 2 a b + b^{2} = (a + b)^{2}$

$x^{2} + 2 x + 1$

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Solution

We have, $x^{2} + 2 x + 1$
$= x^{2} + 2.1. x + 1^{2} = (x + 1)^{2} = (x + 1) (x + 1)$

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