# How do you factor n^2-10n+9?

Apr 10, 2018

$\left(n - 1\right) \left(n - 9\right)$

#### Explanation:

${n}^{2} - 10 n + 9 = \left(n - 1\right) \left(n - 9\right)$

$n \cdot n = {n}^{2}$
$n \cdot - 9 = - 9 n$
$n \cdot - 1 = - n$
$- 9 \cdot - 1 = 9$

When you combine those you get: ${n}^{2} - 10 n + 9$