# How do you factor the expression 12x^2 - 3?

Dec 23, 2015

$\textcolor{w h i t e}{\times} 12 {x}^{2} - 3 = 3 \left(2 x - 1\right) \left(2 x + 1\right)$

#### Explanation:

$\textcolor{w h i t e}{\times} 12 {x}^{2} - 3 = 3 \left(4 {x}^{2} - 1\right)$

DOTS RULE:
An expression in the form of a squared number less another squared number is called the difference of two squares.
$\textcolor{w h i t e}{\times} 12 {x}^{2} - 3 = 3 \left({\left(\textcolor{red}{2 x}\right)}^{2} - {\textcolor{red}{1}}^{2}\right)$
$\textcolor{w h i t e}{\times \times \times x} = 3 \left(2 x - 1\right) \left(2 x + 1\right)$