Factorise:
$a^{3} + a - 3 a^{2} - 3$

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Solution

$a^{3} + a - 3 a^{2} - 3$

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

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

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