Solve (x-y)^2(x^2 xy y^2)^2

Evaluate

(x - y)^{2} (x^{2} \times x y \times y^{2})^{2}

Multiply

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(x - y)^{2} (x^{3} y^{3})^{2}

Multiply the terms

(x^{3} y^{3} (x - y))^{2}

Evaluate the power

(x^{3} y^{3})^{2} (x - y)^{2}

Evaluate the power

x^{6} y^{6} (x - y)^{2}

Evaluate the power

x^{6} y^{6} (x^{2} - 2 x y + y^{2})

Apply the distributive property

x^{6} y^{6} x^{2} - x^{6} y^{6} \times 2 x y + x^{6} y^{6} \times y^{2}

Multiply the terms

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x^{8} y^{6} - x^{6} y^{6} \times 2 x y + x^{6} y^{6} \times y^{2}

Multiply the terms

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x^{8} y^{6} - 2 x^{7} y^{7} + x^{6} y^{6} \times y^{2}

Solution

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x^{8} y^{6} - 2 x^{7} y^{7} + x^{6} y^{8}

Simplify the expression