Difference of Two Powers/Examples/Difference of Two Cubes/Corollary

Theorem

 * $x^3 - 1 = \paren {x - 1} \paren {x^2 + x + 1}$

Proof
From Difference of Two Cubes:
 * $x^3 - y^3 = \paren {x - y} \paren {x^2 + x y + y^2}$

The result follows directly by setting $y = 1$.