Completely factor the expression (x*9 - x)

Question

The x is to the 9th power. I need help on this math problem. Thanks if you can help. :)

Answer 1

Assuming you are factoring over the reals.

x⁹ - x

x(x⁸ - 1)

x((x⁴)² - 1)

x(x⁴ + 1)(x⁴ - 1)

x(x⁴ + 1)((x²)² - 1)

x(x⁴ + 1)(x² + 1)(x² - 1)

x(x⁴ + 1)(x² + 1)(x + 1)(x - 1)