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

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

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Answer 1 · 2015-12-23T09:16:06

$\times 12 x^{2} - 3 = 3 (2 x - 1) (2 x + 1)$ $color(white)(xx)12x^2-3=3(2x-1)(2x+1)$

Explanation:

$\times 12 x^{2} - 3 = 3 (4 x^{2} - 1)$ $color(white)(xx)12x^2-3=3(4x^2-1)$

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

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

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