Basic Math Examples

$4 a^{3} - 4 b^{3}$

Step 1

Factor $4$ out of $4 a^{3} - 4 b^{3}$ .

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Step 1.1

Factor $4$ out of $4 a^{3}$ .

$4 (a^{3}) - 4 b^{3}$

Step 1.2

Factor $4$ out of $- 4 b^{3}$ .

$4 (a^{3}) + 4 (- b^{3})$

Step 1.3

Factor $4$ out of $4 (a^{3}) + 4 (- b^{3})$ .

$4 (a^{3} - b^{3})$

Step 2

Factor.

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Step 2.1

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 $a = a$ and $b = b$ .

$4 ((a - b) (a^{2} + a b + b^{2}))$

Step 2.2

Remove unnecessary parentheses.

$4 (a - b) (a^{2} + a b + b^{2})$