Question

How do you factor `u^3 - 125v^3`?

Answer 1

`u^3-(5v)^3=(u-5v)(u^2+5uv+25v^2)`

Explanation:

Use the difference of two cubes formula. That is, `(x^3-y^3)=(x-y)(x^2+xy+y^2)`. So first write out the problem as a difference of two cubes then apply the formula.