Algebra Examples

$z^{2} - 25$

Step 1

Rewrite $25$ as $5^{2}$ .

$z^{2} - 5^{2}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = z$ and $b = 5$ .

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