# Is it possible to factor y=4x^2-49 ? If so, what are the factors?

Dec 10, 2015

 color(blue)((2x-7) , (2x+7) are the factos of the expression.

#### Explanation:

$y = 4 {x}^{2} - 49$

The expression can be re written as:
$y = {\left(2 x\right)}^{2} - {7}^{2}$, this is of the below format:

color(blue)(a^2-b^2=(a-b)(a+b)

So,
y=(2x)^2-7^2 = color(blue)((2x-7)(2x+7)

 color(blue)((2x-7)(2x+7) is the factorised form of the expression.