# How do you factor 24s ^ { 2} - 150?

Dec 20, 2016

$6 \left(4 {s}^{2} - 25\right)$

#### Explanation:

We can rewrite this expression as:

$\left(\textcolor{red}{2} \times 2 \times 2 \times \textcolor{red}{3} \times s \times s\right) - \left(\textcolor{red}{2} \times \textcolor{red}{3} \times 5 \times 5\right)$

We can factor out the common terms of $\textcolor{red}{2 \times 3}$

$\textcolor{red}{2 x 3} \left(\left(2 \times 2 \times s \times s\right) - \left(5 \times 5\right)\right)$

Combining the factored terms back together gives:

$6 \left(4 {s}^{2} - 25\right)$