# How do you use the difference of two squares formula to factor 6m^2-150?

$6 {m}^{2} - 150 = 6 \left({m}^{2} - 25\right) = 6 \left({m}^{2} - {5}^{2}\right)$
$= 6 \left(m - 5\right) \left(m + 5\right)$
since $\left({m}^{2} - {5}^{2}\right)$ is of the form $\left({a}^{2} - {b}^{2}\right)$ with $a = m$, $b = 5$
$\left({a}^{2} - {b}^{2}\right) = \left(a - b\right) \left(a + b\right)$