# How do you factor the expression 13c^2 - 52?

Apr 4, 2018

$\textcolor{b r o w n}{\implies 13 \cdot \left(c + 2\right) \cdot \left(c - 2\right)}$
$13 {c}^{2} - 52 = 13 {c}^{2} - 13 \cdot 4$
$\implies 13 \left({c}^{2} - 4\right) , \text{ taking common term out}$
$\textcolor{b r o w n}{\implies 13 \cdot \left(c + 2\right) \cdot \left(c - 2\right)} \text{ as } {a}^{2} - {b}^{2} = \left(a = b\right) \left(a - b\right)$