Factor 12qw^3-12q^4

$12 q w^{3} - 12 q^{4}$

Step 1

Factor $12 q$ out of $12 q w^{3} - 12 q^{4}$ .

Factor $12 q$ out of $12 q w^{3}$ .

$12 q (w^{3}) - 12 q^{4}$

Factor $12 q$ out of $- 12 q^{4}$ .

$12 q (w^{3}) + 12 q (- q^{3})$

Factor $12 q$ out of $12 q (w^{3}) + 12 q (- q^{3})$ .

$12 q (w^{3} - q^{3})$

Step 2

Factor.

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 $a = w$ and $b = q$ .

$12 q ((w - q) (w^{2} + w q + q^{2}))$

Remove unnecessary parentheses.

$12 q (w - q) (w^{2} + w q + q^{2})$

Factor 12qw^3-12q^4

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