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

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

Step 1

Simplify the numerator.

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

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

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

Factor $x y$ out of $10 x^{2} y^{2}$ .

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

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

$\frac{x y (5 x) + x y (10 x y) + x y (- 1 y)}{5 x y}$

Factor $x y$ out of $x y (5 x) + x y (10 x y)$ .

$\frac{x y (5 x + 10 x y) + x y (- 1 y)}{5 x y}$

Factor $x y$ out of $x y (5 x + 10 x y) + x y (- 1 y)$ .

$\frac{x y (5 x + 10 x y - 1 y)}{5 x y}$

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

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

Step 2

Cancel the common factor of $x$ .

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Cancel the common factor of $y$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{5 x + 10 x y - y}{5}$

Step 4

Split the fraction $\frac{5 x + 10 x y - y}{5}$ into two fractions.

$\frac{5 x + 10 x y}{5} + \frac{- y}{5}$

Step 5

Split the fraction $\frac{5 x + 10 x y}{5}$ into two fractions.

$\frac{5 x}{5} + \frac{10 x y}{5} + \frac{- y}{5}$

Step 6

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 x}{5} + \frac{10 x y}{5} + \frac{- y}{5}$

Divide $x$ by $1$ .

$x + \frac{10 x y}{5} + \frac{- y}{5}$

Step 7

Cancel the common factor of $10$ and $5$ .

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

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

Cancel the common factors.

Factor $5$ out of $5$ .

$x + \frac{5 (2 x y)}{5 (1)} + \frac{- y}{5}$

Cancel the common factor.

$x + \frac{5 (2 x y)}{5 \cdot 1} + \frac{- y}{5}$

Rewrite the expression.

$x + \frac{2 x y}{1} + \frac{- y}{5}$

Divide $2 x y$ by $1$ .

$x + 2 x y + \frac{- y}{5}$

Step 8

Move the negative in front of the fraction.

$x + 2 x y - \frac{y}{5}$

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

Related Questions

Support LCMGCF.com by disabling your adblocker.