## Intermediate Algebra: Connecting Concepts through Application

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