Factorize:
$5 x^{2} + 17 x y - 12 y^{2}$

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Solution

$5 x^{2} + 17 x y - 12 y^{2}$
$\Rightarrow 5 x^{2} + 20 x y - 3 x y - 12 y^{2}$
$\Rightarrow 5 x (x + 4 y) - 3 y (x + 4 y)$
$\Rightarrow (5 x - 3 y) (x + 4 y)$

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