# How do you factor n - n^5?

$n - {n}^{5} = n \cdot \left(1 - {\left({n}^{2}\right)}^{2}\right) = n \cdot \left(1 - {n}^{2}\right) \cdot \left(1 + {n}^{2}\right) = n \cdot \left(1 - n\right) \cdot \left(1 + n\right) \cdot \left(1 + {n}^{2}\right)$