Pre-Algebra Examples

$x^{2} - \frac{1}{25}$

Step 1

Rewrite $\frac{1}{25}$ as ${(\frac{1}{5})}^{2}$ .

$x^{2} - {(\frac{1}{5})}^{2}$

Step 2

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = x$ and $b = \frac{1}{5}$ .

$(x + \frac{1}{5}) (x - \frac{1}{5})$