Factorise
$x^{3} - 2 x^{2} - x + 2$

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Solution

$x^{3} - 2 x^{2} - x + 2$
$= x^{2} (x - 2) - 1 (x - 2)$
$= (x^{2} - 1) (x - 2)$
$= (x + 1) (x - 1) (x - 2)$

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