Factorise : $6 - x - x^{2}$

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Solution

$6 - x - x^{2}$
$= - (x^{2} + x - 6)$
$= - (x^{2} + 3 x - 2 x - 6)$
$= - (x (x + 3) - 2 (x + 3))$
$= - (x - 2) (x + 3)$
Hence, the answer is $- (x - 2) (x + 3) .$

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