Question

How do you factor `125-27^3`?

Answer 1

`5^3-27^3 = (5-27)(5^2+5*27+27^2)`

Explanation:

Use the formula for difference of two cubes `(x^3-y^3)=(x-y)(x^2+xy+y^2)` to factor. But first write it as a difference of two cubes.