#### Answer

(5w+2x)(25w$^2$-10wx+4x$^2$)

#### Work Step by Step

125w$^3$+8x$^2$
The expression is a sum of cubes. If a is the cube root of the first term and b is the cube root of the second term, the factorization is (a+b)(a$^2$-ab+b$^2$).
$\sqrt[3] {125w^3}$=5w and
$\sqrt[3] {8x^3}$=2x. So the factorization is
(5w+2x)(25w$^2$-10wx+4x$^2$).