# How do you factor #125x^3+144#?

##### 1 Answer

Dec 13, 2015

#### Explanation:

The sum of two cubes can be factored as

While unfortunately 144 is not a perfect cube, it still a cube of some number. Specifically it is the cube of

Applying this, we have

With a sum of difference of cubes we always get a single real root, meaning we cannot factor any further. So our final factorization is