Factorize:
$a^{3}+a-3 a^{2}-3$
We have:
$a^{3}+a-3 a^{2}-3=\left(a^{3}-3 a^{2}\right)+(a-3)$
$=a^{2}(a-3)+1(a-3)$
$=(a-3)\left(a^{2}+1\right)$
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