Basic Math Examples

$49 m^{2} - \frac{4}{25}$

Step 1

Rewrite $49 m^{2}$ as ${(7 m)}^{2}$ .

${(7 m)}^{2} - \frac{4}{25}$

Step 2

Rewrite $\frac{4}{25}$ as ${(\frac{2}{5})}^{2}$ .

${(7 m)}^{2} - {(\frac{2}{5})}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 7 m$ and $b = \frac{2}{5}$ .

$(7 m + \frac{2}{5}) (7 m - \frac{2}{5})$