Solve (a b)^3 - (a-b)^3

Evaluate

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

Use a^{3} - b^{3} = (a - b) (a^{2} + ab + b^{2}) to factor the expression

(ab - (a - b)) ((ab)^{2} + ab (a - b) + (a - b)^{2})

To raise a product to a power,raise each factor to that power

(ab - (a - b)) (a^{2} b^{2} + ab (a - b) + (a - b)^{2})

Factor the expression

(ab - a + b) (a^{2} b^{2} + ab (a - b) + (a - b)^{2})

Solution

More Steps

(ab - a + b) (a^{2} b^{2} + a^{2} b - a b^{2} + a^{2} - 2 ab + b^{2})

Simplify the expression