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

1 Answer
Dec 23, 2015

color(white)(xx)12x^2-3=3(2x-1)(2x+1)

Explanation:

color(white)(xx)12x^2-3=3(4x^2-1)

DOTS RULE:
An expression in the form of a squared number less another squared number is called the difference of two squares.
color(white)(xx)12x^2-3=3((color(red)(2x))^2-color(red)1^2)
color(white)(xxxxxxx)=3(2x-1)(2x+1)