Question 89 (ii)

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

$x^{2} + 12 x + 36$

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Solution

We have $x^{2} + 12 x + 36$
$= x^{2} + 2.6. x + 6^{2}$
$= (x + 6)^{2}$ $[∵ a^{2} + 2 a b + b^{2} = (a + b)^{2}]$
$= (x + 6) (x + 6)$

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