Factorise: ${4 x}^{2} - 5 x y - {9 y}^{2}$

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Solution

$4 x^{2} - 5 x y - 9 y^{2}$
$\Rightarrow 4 x^{2} + 4 x y - 9 x y - 9 y^{2}$
$\Rightarrow 4 x (x + y) - 9 y (x + y)$
$\Rightarrow (4 x - 9 y) (x + y)$ .

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