Basic Math Examples

$25 y^{2} - \frac{1}{9}$

Step 1

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

${(5 y)}^{2} - \frac{1}{9}$

Step 2

Rewrite $\frac{1}{9}$ as ${(\frac{1}{3})}^{2}$ .

${(5 y)}^{2} - {(\frac{1}{3})}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 5 y$ and $b = \frac{1}{3}$ .

$(5 y + \frac{1}{3}) (5 y - \frac{1}{3})$