Basic Math Examples

$25 m^{2} - \frac{9}{4}$

Step 1

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

${(5 m)}^{2} - \frac{9}{4}$

Step 2

Rewrite $\frac{9}{4}$ as ${(\frac{3}{2})}^{2}$ .

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

Step 3

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

$(5 m + \frac{3}{2}) (5 m - \frac{3}{2})$