Algebra Examples

$t^{3} + 216$

Step 1

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

$t^{3} + 6^{3}$

Step 2

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

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

Step 3

Simplify.

Tap for more steps...

Step 3.1

Multiply $6$ by $- 1$ .

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

Step 3.2

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

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