Pre-Algebra Examples

$36 - 49 v^{2}$

Step 1

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

$6^{2} - 49 v^{2}$

Step 2

Rewrite $49 v^{2}$ as ${(7 v)}^{2}$ .

$6^{2} - {(7 v)}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 6$ and $b = 7 v$ .

$(6 + 7 v) (6 - (7 v))$

Step 4

Multiply $7$ by $- 1$ .

$(6 + 7 v) (6 - 7 v)$