# How do you factor p^2-100?

Mar 13, 2018

$\left(p - 10\right) \left(p + 10\right)$

#### Explanation:

${p}^{2} - 100$

Here you can simplify this by using the difference of two squares

${a}^{2} - {b}^{2} = \left(a - b\right) \left(a + b\right)$

and you will have

${p}^{2} - {10}^{2}$

Then you can simplify this furthermore

$\left(p - 10\right) \left(p + 10\right)$