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Division of a Polynomial by a Polynomial

Divide: 6 x...

Question

Divide:
$(6 x^{2} - 7 x y - 20 y^{2}) b y (3 x + 4 y)$

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Solution

$3 x + 4 y) 6 x^{2} - 7 x y - 20 y^{2} (2 x - 5 y$
$6 x^{2} + 8 x y$
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$- 15 x y - 20 y^{2}$
$- 15 x y - 20 y^{2}$
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$\Rightarrow 6 x^{2} - 7 x y - 20 y^{2}$

$= (2 x - 5 y) (3 x + 4 y)$ .

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