Factor
\left(w+5\right)\left(w^{2}-5w+25\right)
Evaluate
w^{3}+125
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\left(w+5\right)\left(w^{2}-5w+25\right)
Rewrite w^{3}+125 as w^{3}+5^{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}-5w+25 is not factored since it does not have any rational roots.
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