Factor 8-r^3 - Math solver

$8 - r^{3}$

Rewrite $8$ as $2^{3}$ .

$2^{3} - r^{3}$

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 $a = 2$ and $b = r$ .

$(2 - r) (2^{2} + 2 r + r^{2})$

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

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

Factor 8-r^3

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