Solve (a b)^2x(a-b)^2

Evaluate

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

Multiply the terms

a^{2} b^{2} x (a - b)^{2}

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

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

Apply the distributive property

a^{2} b^{2} x a^{2} - a^{2} b^{2} x \times 2 ab + a^{2} b^{2} x b^{2}

Multiply the terms

More Steps

a^{4} b^{2} x - a^{2} b^{2} x \times 2 ab + a^{2} b^{2} x b^{2}

Multiply the terms

More Steps

a^{4} b^{2} x - 2 a^{3} b^{3} x + a^{2} b^{2} x b^{2}

Solution

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a^{4} b^{2} x - 2 a^{3} b^{3} x + a^{2} b^{4} x

Simplify the expression