Basic Math Examples

$25 - 36 m^{4}$

Step 1

Rewrite $25$ as $5^{2}$ .

$5^{2} - 36 m^{4}$

Step 2

Rewrite $36 m^{4}$ as ${(6 m^{2})}^{2}$ .

$5^{2} - {(6 m^{2})}^{2}$

Step 3

Since both terms are perfect squares, factor using the difference of squares formula, $a^{2} - b^{2} = (a + b) (a - b)$ where $a = 5$ and $b = 6 m^{2}$ .

$(5 + 6 m^{2}) (5 - (6 m^{2}))$

Step 4

Multiply $6$ by $- 1$ .

$(5 + 6 m^{2}) (5 - 6 m^{2})$