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
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(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)