Answer
$(6p+5q)(36p^2-30pq+25q^2)$
Work Step by Step
Using $a^3\pm b^3=(a\pm b)(a^2\mp ab+b^2)$ or the factoring of two cubes, the factored form of the given expression, $
216p^3+125q^3
,$ is
\begin{array}{l}\require{cancel}
(6p+5q)[(6p)^2-6p(5q)+(5q)^2]
\\\\=
(6p+5q)(36p^2-30pq+25q^2)
.\end{array}
