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

Question

3936 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-09-16T16:23:05

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

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

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

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

Here:
$color(blue)(a=x)$
$color(blue)(b=14)$

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

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