Algebra Examples

$2 x^{3} - 18 x$

Step 1

Factor $2 x$ out of $2 x^{3} - 18 x$ .

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Step 1.1

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

$2 x (x^{2}) - 18 x$

Step 1.2

Factor $2 x$ out of $- 18 x$ .

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

Step 1.3

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

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

Step 2

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

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

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 $b = 3$ .

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

Step 3.2

Remove unnecessary parentheses.

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