Question

How do you factor `x^3+64`?

Answer 1

The answer is: `x^3+64=(x+4)(x^2-4x+16)`.

It's easy if we remember the formula of sum of cubes, that says:

`x^3+y^3=(x+y)(x^2-xy+y^2)`.

In this case `64=4^3`.

It's also to remember the formula of difference of cubes, that says:

`x^3-y^3=(x-y)(x^2+xy+y^2)`.