Answer
$(2w-5)(4w^2+10w+25)$
Work Step by Step
$\bf{\text{Solution Outline:}}$
To factor the given expression, $
8w^3-125
,$ 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}
(2w-5)[(2w)^2+2w(5)+(5)^2]
\\\\=
(2w-5)(4w^2+10w+25)
.\end{array}
