Question 89 (ix)

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

$4 x^{2} + 12 x + 9$

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Solution

We have, $4 x^{2} + 12 x + 9$
$= (2 x)^{2} + 2.2 x .3 + 3^{2} = (2 x + 3)^{2} = (2 x + 3) (2 x + 3)$

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