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