Factor 8f^3g-216g

$8 f^{3} g - 216 g$

Factor $8 g$ out of $8 f^{3} g - 216 g$ .

Factor $8 g$ out of $8 f^{3} g$ .

$8 g (f^{3}) - 216 g$

Factor $8 g$ out of $- 216 g$ .

$8 g (f^{3}) + 8 g (- 27)$

Factor $8 g$ out of $8 g (f^{3}) + 8 g (- 27)$ .

$8 g (f^{3} - 27)$

Rewrite $27$ as $3^{3}$ .

$8 g (f^{3} - 3^{3})$

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 $a = f$ and $b = 3$ .

$8 g ((f - 3) (f^{2} + f \cdot 3 + 3^{2}))$

Factor.

Simplify.

Move $3$ to the left of $f$ .

$8 g ((f - 3) (f^{2} + 3 f + 3^{2}))$

Raise $3$ to the power of $2$ .

$8 g ((f - 3) (f^{2} + 3 f + 9))$

Remove unnecessary parentheses.

$8 g (f - 3) (f^{2} + 3 f + 9)$

Factor 8f^3g-216g

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