Algebra Examples

$n^{2} - 1$

Step 1

Rewrite $1$ as $1^{2}$ .

$n^{2} - 1^{2}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = n$ and $b = 1$ .

$(n + 1) (n - 1)$