Divide (3x^3y+6x^2y^3-9xy^4)/(3xy)

$\frac{3 x^{3} y + 6 x^{2} y^{3} - 9 x y^{4}}{3 x y}$

Factor $3 x y$ out of $3 x^{3} y + 6 x^{2} y^{3} - 9 x y^{4}$ .

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

$\frac{3 x y (x^{2}) + 6 x^{2} y^{3} - 9 x y^{4}}{3 x y}$

Factor $3 x y$ out of $6 x^{2} y^{3}$ .

$\frac{3 x y (x^{2}) + 3 x y (2 x y^{2}) - 9 x y^{4}}{3 x y}$

Factor $3 x y$ out of $- 9 x y^{4}$ .

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

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

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

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

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

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $x$ .

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $y$ .

Cancel the common factor.

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

Divide $x^{2} + 2 x y^{2} - 3 y^{3}$ by $1$ .

$x^{2} + 2 x y^{2} - 3 y^{3}$