Factor
\left(z+2\right)\left(z^{2}-2z+4\right)
Evaluate
z^{3}+8
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\left(z+2\right)\left(z^{2}-2z+4\right)
Rewrite z^{3}+8 as z^{3}+2^{3}. The sum of cubes can be factored using the rule: a^{3}+b^{3}=\left(a+b\right)\left(a^{2}-ab+b^{2}\right). Polynomial z^{2}-2z+4 is not factored since it does not have any rational roots.
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