Answer
$(5x-6)(25x^2+30x+36)$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To factor the given expression, $
125x^3-216
,$ use the factoring of the sum/difference of $2$ cubes.
$\bf{\text{Solution Details:}}$
Using $(a\pm b)(a^2\mp ab+b^2)$ or the factoring of the sum/difference of $2$ cubes, the expression above is equivalent to
\begin{array}{l}\require{cancel}
(5x-6)[(5x)^2+5x(6)+(6)^2]
\\\\=
(5x-6)(25x^2+30x+36)
.\end{array}