Question 90 (ix)

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

$4 y^{2} - 12 y + 9$

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Solution

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

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