x^3 - x^3 = 0
Remember , whilst 'x' is an unknown value, that unkonwn is a fixed value.
As a numerical example
3^(3) - 3^(3) = 27 - 27 = 0
The '3' is 'x' in this case
24
(x - 1)(x^2 + x + 1)
Factor out the GCF and get X(X2-X+1).
x^3-x = x(x^2-1) = x(x+1)(x-1)
(x - 4)(x^2 + 4x + 16)
X cubed - X cubed is zero.
(x - 1)(x - 1)(x - 1) - (x + 1)(x + 1)(x + 1)
x(x + 3)(x - 4)
(x - 2)(x^2 + x + 3)
64 x cubed minus y cubed is (4x - y)(16x^2 + 4xy + y^2)
(x - 5)(x^2 + 1)
24
x cubed minus 216
(x - 1)(x^2 + x + 1)
I am assuming you need this factored. x(x+1)(x-1)
x³ - x² + x - 3 (x² + 1)(x - 1) - 2
x(x + 1)(x -1)