Factor
\left(T-3\right)\left(T^{2}+3T+9\right)
Evaluate
T^{3}-27
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\left(T-3\right)\left(T^{2}+3T+9\right)
Rewrite T^{3}-27 as T^{3}-3^{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 T^{2}+3T+9 is not factored since it does not have any rational roots.
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