Basic Math Examples

$64 - v^{3}$

Step 1

Rewrite $64$ as $4^{3}$ .

$4^{3} - v^{3}$

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 $a = 4$ and $b = v$ .

$(4 - v) (4^{2} + 4 v + v^{2})$

Step 3

Raise $4$ to the power of $2$ .

$(4 - v) (16 + 4 v + v^{2})$