Question

How do you factor x³+8? I know how to factor normally, but not this.

Answer 1

You can rewrite it as...

x³ + 2³

The sum of cubes formula is a³+b³ = (a + b)(a^2 - ab + b^2)

= (x + 2)(x^2 - 2x + 2^2)

= (x + 2)(x^2 - 2x + 4)