Factor a^3-b^3-3ab(a-b)

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

Apply the distributive property.

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

Multiply $a$ by $a$ by adding the exponents.

Move $a$ .

$a^{3} - b^{3} - 3 (a \cdot a) b - 3 a b (- b)$

Multiply $a$ by $a$ .

$a^{3} - b^{3} - 3 a^{2} b - 3 a b (- b)$

Multiply $b$ by $b$ by adding the exponents.

Move $b$ .

$a^{3} - b^{3} - 3 a^{2} b - 3 a (b \cdot b) \cdot - 1$

Multiply $b$ by $b$ .

$a^{3} - b^{3} - 3 a^{2} b - 3 a b^{2} \cdot - 1$

Multiply $- 1$ by $- 3$ .

$a^{3} - b^{3} - 3 a^{2} b + 3 a b^{2}$