Algebra Examples

$a^{2} - 25 b^{2}$

Step 1

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

$a^{2} - {(5 b)}^{2}$

Step 2

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

$(a + 5 b) (a - (5 b))$

Step 3

Multiply $5$ by $- 1$ .

$(a + 5 b) (a - 5 b)$