# How do you factor 5a^2-25a-a+5?

Jun 2, 2018

$\left(5 a - 1\right) \left(a - 5\right)$

#### Explanation:

Let's group the first two terms and the second two together. Then, we can factor out $5 a$ from the first group, and -1 from the second.

$5 a \left(a - 5\right) - 1 \left(a - 5\right)$

Then, working backwards from the distributive property, we can state:
$\left(5 a - 1\right) \left(a - 5\right)$