Factor
\left(z-6\right)\left(z^{2}+6z+36\right)
Evaluate
z^{3}-216
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\left(z-6\right)\left(z^{2}+6z+36\right)
Rewrite z^{3}-216 as z^{3}-6^{3}. The difference 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}+6z+36 is not factored since it does not have any rational roots.
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