Factorize:

Question:

Factorize:

$8-4 a-2 a^{3}+a^{4}$

 

Solution:

We have:

$8-4 a-2 a^{3}+a^{4}=(8-4 a)-\left(2 a^{3}-a^{4}\right)$

$=4(2-a)-a^{3}(2-a)$

$=(2-a)\left(4-a^{3}\right)$

 

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