# How do you factor the expression 25x^2 - 4?

Jan 31, 2016

$\left(5 x + 2\right) \left(5 x - 2\right) \mathmr{and} \left(5 x - 2\right) \left(5 x + 2\right)$

#### Explanation:

Since ${a}^{2} - {b}^{2} = \left(a + b\right) \left(a - b\right) \mathmr{and} \left(a + b\right) \left(a - b\right)$
(Factoring Difference of Two Squares)

We can do this by "Trial and Error Method".

$25 {x}^{2} - 4$

giving $\left(5 x + 2\right) \left(5 x - 2\right)$
or $\left(5 x - 2\right) \left(5 x + 2\right)$