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

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

Simplify the numerator.

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

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

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

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

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

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

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

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

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

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

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

Simplify terms.

Combine.

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

Cancel the common factor of $x$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

Cancel the common factor of $y^{2}$ and $y$ .

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

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

Cancel the common factors.

Raise $y$ to the power of $1$ .

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

Factor $y$ out of $y^{1}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $(x - y) y$ by $1$ .

$(x - y) y$

$(x - y) y$

$(x - y) y$

Apply the distributive property.

$x y - y \cdot y$

$x y - y \cdot y$

Multiply $y$ by $y$ by adding the exponents.

Move $y$ .

$x y - (y \cdot y)$

Multiply $y$ by $y$ .

$x y - y^{2}$

$x y - y^{2}$

Related Questions