Factorise: $x^{2} - 8 x + 15$

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Solution

$x^{2} - 8 x + 15$
$= x^{2} - 5 x - 3 x + 15$
$= x (x - 5) - 3 (x - 5)$
$= (x - 5) (x - 3)$

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