Algebra Examples

$m^{2} - 6 m + 6 m - 36$

Step 1

Add $- 6 m$ and $6 m$ .

$m^{2} + 0 - 36$

Step 2

Add $m^{2}$ and $0$ .

$m^{2} - 36$

Step 3

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

$m^{2} - 6^{2}$

Step 4

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = m$ and $b = 6$ .

$(m + 6) (m - 6)$