Pre-Algebra Examples

$36 - 25 z^{2}$

Step 1

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

$6^{2} - 25 z^{2}$

Step 2

Rewrite $25 z^{2}$ as ${(5 z)}^{2}$ .

$6^{2} - {(5 z)}^{2}$

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 $b = 5 z$ .

$(6 + 5 z) (6 - (5 z))$

Step 4

Multiply $5$ by $- 1$ .

$(6 + 5 z) (6 - 5 z)$