# Math Help - Prove this solution??

1. ## Prove this solution??

prove that x^3 = x for x=0,1,-1 but not by just putting in the values of x??

2. $x^3 = x$

$x^3 - x = 0$

$x(x^2 - 1) = 0$

$x(x - 1)(x + 1) = 0$

$x = 0$ or $x-1=0$ or $x+1 = 0$

$x = 0$ or $x=1$ or $x=-1$.