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

3 (3 x - 4 y)

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3 (3 x + 4 y)

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4 (3 x - 4 y)

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3 (4 x - 3 y)

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Solution

The correct option is A $3 (3 x - 4 y)$
$12 x y (9 x^{2} - 16 y^{2}) \div 4 x y (3 x + 4 y)$
$= \frac{12 x y (9 x^{2} - 16 y^{2})}{4 x y (3 x + 4 y)}$
$= \frac{12 x y (3 x - 4 y) (3 x + 4 y)}{4 x y (3 x + 4 y)}$
$= 3 (3 x - 4 y)$

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