Factorize:

Question:

Factorize:

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

Solution:

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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