# How do you factor completely 3w^2-75?

Jun 3, 2016

$3 \left(w + 5\right) \left(w - 5\right)$

#### Explanation:

To factor $3 {w}^{2} - 75$

Begin by factoring out the common factor $3$

$3 \left({w}^{2} - 25\right)$

Now we recognize that ${w}^{2} - 25$ is the difference of two squares

$3 \left(w + 5\right) \left(w - 5\right)$