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