Factorise the expression and divide them as directed.
$12 x y (9 x^{2} - 16 y^{2}) \div 4 x y (3 x + 4 y)$ .

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Solution

$12 x y (9 x^{2} - 16 y^{2}) = 12 x y (3 x - 4 y) (3 x + 4 y)$

$⟹ 12 x y (9 x^{2} - 16 y^{2}) \div 4 x y (3 x + 4 y) = \frac{12 x y (3 x - 4 y) (3 x + 4 y)}{4 x y (3 x + 4 y)} = 9 x - 12 y$

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