# How do you write x^2 – 196 in factored form?

##### 1 Answer
Sep 16, 2015

color(blue)((x+14)(x-14) is the factorised format.

#### Explanation:

${x}^{2} - 196 = {x}^{2} - {14}^{2}$

As per identity:
color(blue)(a^2-b^2=(a+b)(a-b)

The expression ${x}^{2} - {14}^{2}$ represents the same identity.

Here:
$\textcolor{b l u e}{a = x}$
$\textcolor{b l u e}{b = 14}$

So,x^2 - 14^2 = color(blue)((x+14)(x-14)