Basic Math Examples

$216 - t^{3}$

Step 1

Rewrite $216$ as $6^{3}$ .

$6^{3} - t^{3}$

Step 2

Since both terms are perfect cubes, factor using the difference of cubes formula, $a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$ where $a = 6$ and $b = t$ .

$(6 - t) (6^{2} + 6 t + t^{2})$

Step 3

Raise $6$ to the power of $2$ .

$(6 - t) (36 + 6 t + t^{2})$