Factor 18-8x^2 - Math solver

$18 - 8 x^{2}$

Factor $2$ out of $18 - 8 x^{2}$ .

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Factor $2$ out of $18$ .

$2 (9) - 8 x^{2}$

Factor $2$ out of $- 8 x^{2}$ .

$2 (9) + 2 (- 4 x^{2})$

Factor $2$ out of $2 (9) + 2 (- 4 x^{2})$ .

$2 (9 - 4 x^{2})$

Rewrite $9$ as $3^{2}$ .

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

Rewrite $4 x^{2}$ as ${(2 x)}^{2}$ .

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

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 3$ and $b = 2 x$ .

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

Factor.

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Multiply $2$ by $- 1$ .

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

Remove unnecessary parentheses.

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

Factor 18-8x^2