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Factor Theorem

Simplify 12...

Question

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

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Solution

$\frac{12 x y (9 x^{2} - 16 y^{2})}{4 x y (3 x + 4 y)}$
$= \frac{3 \times 4 x y (3 x - 4 y) (3 x + 4 y)}{4 x y (3 x + 4 y)}$ by splitting into factors.
$= 3 (3 x - 4 y) = 9 x - 12 y$

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Similar questions

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

Q. Factorise the following:

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

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

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