Simplify (5x^2y-10xy+15xy^2)/(5xy)

$\frac{5 x^{2} y - 10 x y + 15 x y^{2}}{5 x y}$

Factor $5 x y$ out of $5 x^{2} y - 10 x y + 15 x y^{2}$ .

Factor $5 x y$ out of $5 x^{2} y$ .

$\frac{5 x y (x) - 10 x y + 15 x y^{2}}{5 x y}$

Factor $5 x y$ out of $- 10 x y$ .

$\frac{5 x y (x) + 5 x y (- 2) + 15 x y^{2}}{5 x y}$

Factor $5 x y$ out of $15 x y^{2}$ .

$\frac{5 x y (x) + 5 x y (- 2) + 5 x y (3 y)}{5 x y}$

Factor $5 x y$ out of $5 x y (x) + 5 x y (- 2)$ .

$\frac{5 x y (x - 2) + 5 x y (3 y)}{5 x y}$

Factor $5 x y$ out of $5 x y (x - 2) + 5 x y (3 y)$ .

$\frac{5 x y (x - 2 + 3 y)}{5 x y}$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x y (x - 2 + 3 y)}{5 x y}$

Rewrite the expression.

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

Cancel the common factor of $x$ .

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $y$ .

Cancel the common factor.

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

Divide $x - 2 + 3 y$ by $1$ .

$x - 2 + 3 y$

Move $- 2$ .

$x + 3 y - 2$