Pre-Algebra Examples

$w^{2} - \frac{1}{81}$

Step 1

Rewrite $\frac{1}{81}$ as ${(\frac{1}{9})}^{2}$ .

$w^{2} - {(\frac{1}{9})}^{2}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = w$ and $b = \frac{1}{9}$ .

$(w + \frac{1}{9}) (w - \frac{1}{9})$