Simplify (xy)/(3x^2y-3xy^2)

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

Simplify the denominator.

Factor $3 x y$ out of $3 x^{2} y - 3 x y^{2}$ .

Factor $3 x y$ out of $3 x^{2} y$ .

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

Factor $3 x y$ out of $- 3 x y^{2}$ .

$\frac{x y}{3 x y (x) + 3 x y (- 1 y)}$

Factor $3 x y$ out of $3 x y (x) + 3 x y (- 1 y)$ .

$\frac{x y}{3 x y (x - 1 y)}$

Rewrite $- 1 y$ as $- y$ .

$\frac{x y}{3 x y (x - y)}$

Reduce the expression by cancelling the common factors.

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x y}{3 x y (x - y)}$

Rewrite the expression.

$\frac{y}{3 y (x - y)}$

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{y}{3 y (x - y)}$

Rewrite the expression.

$\frac{1}{3 (x - y)}$