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