Factorise: $x^{2} - 2 x - 15$ .

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Solution

$x^{2} - 2 x - 15$
$= x^{2} - 5 x + 3 x - 15$
$= x (x - 5) + 3 (x - 5)$
$= (x - 5) (x + 3)$

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