Answer
(a-5b)(a$^2$+5ab+25b$^2$)
Work Step by Step
a$^3$-125b$^3$
This expression is a difference of cubes. If the cube root of the first term is a and the cube root of the second term is b, then the factorization is (a-b)(a$^2$+ab+b$^2$). So
$\sqrt[3] {a^3}$=a
$\sqrt[3] {125b^3}$=5b
(a-5b)(a$^2$+5ab+25b$^2$).
