Factorise the following: $9 x^{2} - 12 x + 3$

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Solution

$9 x^{2} - 12 x + 3$
$\Rightarrow 9 x^{2} - 3 x - 9 x + 3$
$\Rightarrow 3 x (3 x - 1) - 3 (3 x - 1)$
$\Rightarrow (3 x - 3) (3 x - 1)$
$\Rightarrow 3 (x - 1) (3 x - 1)$

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Question 27
Factorise the following:

$(i) 9 x^{2} - 12 x + 3$

$(i i) 9 x^{2} - 12 x + 4$

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

\frac{x^{2}}{4 y^{2}} - \frac{2}{3} + \frac{4 y^{2}}{9 x^{2}}

\frac{x^{2}}{4 y^{2}} - \frac{1}{3} + \frac{y^{2}}{9 x^{2}}

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