# what is x^9 - x^5?

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First we will simplify by factoring.

We will factor x^5 from both terms.

`x^9 - x^5= x^5(x^4 -1) = x^5 (x^2-1)(x^2+1)= x^5(x-1)(x+1)(x^2+1)`

`==> x^9 - x^5 = x^5(x^2+1)(x-1)(x+1)`

If you need to find the roots.

==> x1= 0

==> x2= 1

==> x3 = -1

==> x4= i

==> x5= -i