Basic Math Examples

$25 t^{2} - 36 u^{2}$

Step 1

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

${(5 t)}^{2} - 36 u^{2}$

Step 2

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

${(5 t)}^{2} - {(6 u)}^{2}$

Step 3

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

$(5 t + 6 u) (5 t - (6 u))$

Step 4

Multiply $6$ by $- 1$ .

$(5 t + 6 u) (5 t - 6 u)$