Solve ((6xy^2x^2)/(x y))/((6xy-2x^2)/(x y))

Evaluate

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

Multiply

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(6 x^{3} y^{2} \div x y) \div ((6 x y - 2 x^{2}) \div x y)

Divide the terms

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

Divide the terms

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6 x^{2} y \div \frac{6 y - 2 x}{y}

Multiply by the reciprocal

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

Rewrite the expression

6 x^{2} y \times \frac{y}{2 ( 3 y - x )}

Cancel out the common factor 2

3 x^{2} y \times \frac{y}{3 y - x}

Multiply the terms

\frac{3 x ^{2} y \times y}{3 y - x}

Solution

\frac{3 x ^{2} y ^{2}}{3 y - x}

Simplify the expression