Factor
\left(5a+6\right)\left(25a^{2}-30a+36\right)
Evaluate
125a^{3}+216
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\left(5a+6\right)\left(25a^{2}-30a+36\right)
Rewrite 216+125a^{3} as \left(5a\right)^{3}+6^{3}. The sum of cubes can be factored using the rule: p^{3}+q^{3}=\left(p+q\right)\left(p^{2}-pq+q^{2}\right). Polynomial 25a^{2}-30a+36 is not factored since it does not have any rational roots.
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