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

Evaluate

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

Use the commutative property to reorder the terms

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

Expand the expression

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

Apply the distributive property

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

Multiply the terms

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

Solution

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

Simplify the expression