Algebra Examples

3 x^{2} - 12

$3 x^{2} - 12$

Step 1

Factor

3

$3$ out of

$3 x^{2} - 12$ .

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Step 1.1

Factor

$3$ out of

$3 x^{2}$ .

$3 (x^{2}) - 12$

Step 1.2

Factor

$3$ out of

$- 12$ .

$3 x^{2} + 3 \cdot - 4$

Step 1.3

Factor

$3$ out of

$3 x^{2} + 3 \cdot - 4$ .

$3 (x^{2} - 4)$

Step 2

Rewrite

$4$ as

$2^{2}$ .

$3 (x^{2} - 2^{2})$

Step 3

Factor.

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Step 3.1

Since both terms are perfect squares, factor using the difference of squares formula,

$a^{2} - b^{2} = (a + b) (a - b)$ where

$a = x$ and

$b = 2$ .

$3 ((x + 2) (x - 2))$

Step 3.2

Remove unnecessary parentheses.

$3 (x + 2) (x - 2)$

$3 x^{2} - 12$

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