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

Evaluate

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

Evaluate the power

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

Evaluate the power

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

Apply the distributive property

a^{3} b^{3} a^{3} - a^{3} b^{3} \times 3 a^{2} b + a^{3} b^{3} \times 3 a b^{2} - a^{3} b^{3} \times b^{3}

Multiply the terms

More Steps

a^{6} b^{3} - a^{3} b^{3} \times 3 a^{2} b + a^{3} b^{3} \times 3 a b^{2} - a^{3} b^{3} \times b^{3}

Multiply the terms

More Steps

a^{6} b^{3} - 3 a^{5} b^{4} + a^{3} b^{3} \times 3 a b^{2} - a^{3} b^{3} \times b^{3}

Multiply the terms

More Steps

a^{6} b^{3} - 3 a^{5} b^{4} + 3 a^{4} b^{5} - a^{3} b^{3} \times b^{3}

Solution

More Steps

a^{6} b^{3} - 3 a^{5} b^{4} + 3 a^{4} b^{5} - a^{3} b^{6}

Simplify the expression