Answer
$(4-5x)(16+20x+25x^2)$
Work Step by Step
Using $a^3+b^3=(a+b)(a^2-ab+b^2)$ or the factoring of 2 cubes, the factored form of the given expression, $
64-125x^3
,$ is
\begin{array}{l}
(4-5x)[(4)^2-(4)(-5x)+(5x)^2]
\\\\=
(4-5x)(16+20x+25x^2)
.\end{array}