Factor 3x^2-588

$3 x^{2} - 588$

Step 1

Factor $3$ out of $3 x^{2} - 588$ .

Factor $3$ out of $3 x^{2}$ .

$3 (x^{2}) - 588$

Factor $3$ out of $- 588$ .

$3 x^{2} + 3 \cdot - 196$

Factor $3$ out of $3 x^{2} + 3 \cdot - 196$ .

$3 (x^{2} - 196)$

Step 2

Rewrite $196$ as $14^{2}$ .

$3 (x^{2} - 14^{2})$

Step 3

Factor.

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 $b = 14$ .

$3 ((x + 14) (x - 14))$

Remove unnecessary parentheses.

$3 (x + 14) (x - 14)$