Algebra Examples

$4 (4 x^{4} - 1)$

Step 1

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

$4 ({(2 x^{2})}^{2} - 1)$

Step 2

Rewrite $1$ as $1^{2}$ .

$4 ({(2 x^{2})}^{2} - 1^{2})$

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 $a = 2 x^{2}$ and $b = 1$ .

$4 ((2 x^{2} + 1) (2 x^{2} - 1))$

Step 3.2

Remove unnecessary parentheses.

$4 (2 x^{2} + 1) (2 x^{2} - 1)$