# How do you factor x^2 - 49?

Jun 30, 2015

$\left(x - 7\right) \left(x + 7\right)$

#### Explanation:

To factorize this, we need to use algebric formula which is given by;
${a}^{2} - {b}^{2} = \left(a - b\right) \left(a + b\right)$
Now, we have;
${x}^{2} - 49$
We know that $49 = 7 X 7 = {7}^{2}$, hence we get
$= {x}^{2} - {7}^{2}$
Now applying above formula, we get;
$= \left(x - 7\right) \left(x + 7\right)$