Algebra Examples

$2 r (25 r^{6} - 36)$

Step 1

Rewrite $25 r^{6}$ as ${(5 r^{3})}^{2}$ .

$2 r ({(5 r^{3})}^{2} - 36)$

Step 2

Rewrite $36$ as $6^{2}$ .

$2 r ({(5 r^{3})}^{2} - 6^{2})$

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 $a = 5 r^{3}$ and $b = 6$ .

$2 r ((5 r^{3} + 6) (5 r^{3} - 6))$

Step 3.2

Remove unnecessary parentheses.

$2 r (5 r^{3} + 6) (5 r^{3} - 6)$