Factor 125x^3-1000. Show your work.

The left term is (5x) ³.

The right term is 10³.

So, you can use the formula for the factorization of the difference of cubes.

... a³ - b³ = (a-b) (a² + ab + b²)

Here, you have a=5x, b=10, so the factorization is

... 125x³ - 1000 = (5x-10) (25x² + 50x + 100)