Solve (1-x^2)(1-y^2) 4xy

Evaluate

(1 - x^{2}) (1 - y^{2}) \times 4 x y

Use the commutative property to reorder the terms

4 (1 - x^{2}) (1 - y^{2}) x y

Multiply the terms

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(4 - 4 x^{2}) (1 - y^{2}) x y

Multiply the terms

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(4 - 4 y^{2} - 4 x^{2} + 4 x^{2} y^{2}) x y

Multiply the terms

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(4 x - 4 y^{2} x - 4 x^{3} + 4 x^{3} y^{2}) y

Apply the distributive property

4 x y - 4 y^{2} x y - 4 x^{3} y + 4 x^{3} y^{2} \times y

Multiply the terms

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4 x y - 4 y^{3} x - 4 x^{3} y + 4 x^{3} y^{2} \times y

Solution

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4 x y - 4 y^{3} x - 4 x^{3} y + 4 x^{3} y^{3}

Simplify the expression