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

Evaluate

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

Reduce the fraction

More Steps

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

Divide the terms

More Steps

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

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