Algebra Examples

$x^{3} - 49 x$

Step 1

Factor $x$ out of $x^{3} - 49 x$ .

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Step 1.1

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

$x \cdot x^{2} - 49 x$

Step 1.2

Factor $x$ out of $- 49 x$ .

$x \cdot x^{2} + x \cdot - 49$

Step 1.3

Factor $x$ out of $x \cdot x^{2} + x \cdot - 49$ .

$x (x^{2} - 49)$

Step 2

Rewrite $49$ as $7^{2}$ .

$x (x^{2} - 7^{2})$

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 $b = 7$ .

$x ((x + 7) (x - 7))$

Step 3.2

Remove unnecessary parentheses.

$x (x + 7) (x - 7)$