Solve (a-b)^(3) b^(3) - Socratic AI (ScanMath)

Evaluate

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

Use the commutative property to reorder the terms

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

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

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

Apply the distributive property

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

Multiply the terms

More Steps

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

Multiply the terms

More Steps

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

Solution

More Steps

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

(a B)^(3) b^(3)