Question

How do you factor `27x^3 -8y^3`?

Answer 1

`(3x-2y)(9y^2 + 6xy +4y^2)`

Explanation:

We should notice that every part of this expression is a cube.
We can factor it as the difference of cubes.

`27x^3 -8y^3`

=`(3x-2y)(9y^2 + 6xy +4y^2)`