Factorise the following expressions :
$9 (3 x - 4 y)^{2} - 12 (4 y - 3 x)$

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Solution

$= 9 (3 x - 4 y)^{2} + 12 (3 x - 4 y)$
$= (3 x - 4 y) [9 (3 x - 4 y) + 12]$
$= (3 x - 4 y) [3] [3 (3 x - 4 y) + 4]$
$= 3 (3 x - 4 y) [9 x - 12 y + 4]$
$= 3 (3 x - 4 y) [9 x - 12 y + 4]$

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