Question

How do you factor `125x^3-64y^3`?

Answer 1

This is the difference of two cubes,
ie `X^3-Y^3 = (X-Y)(X^2+XY+Y^2)` (Learn This)

Explanation:

`125x^3−64y^3=(5x)^3-(4y)^3`
`=(5x-4y)((5x)^2+(5x)(4y)+(4y)^2)`
`=(5x-4y)(25x^2+20xy+16y^2)`