Solve =x-y/xdivx-2xy+y^2/x

$$= \frac { x - y } { x } \div \frac { x - 2 x y + y ^ { 2 } } { x }$$

Evaluate

$$\frac{x-y}{y^{2}+x-2xy}$$

Solution Steps

Divide \frac{x-y}{x} by \frac{x-2xy+y^{2}}{x} by multiplying \frac{x-y}{x} by the reciprocal of \frac{x-2xy+y^{2}}{x}.

$$\frac{\left(x-y\right)x}{x\left(x-2xy+y^{2}\right)}$$

Cancel out x in both numerator and denominator.

$$\frac{x-y}{-2xy+x+y^{2}}$$

Expand

$$\frac{x-y}{y^{2}+x-2xy}$$

Solution Steps

Divide \frac{x-y}{x} by \frac{x-2xy+y^{2}}{x} by multiplying \frac{x-y}{x} by the reciprocal of \frac{x-2xy+y^{2}}{x}.

$$\frac{\left(x-y\right)x}{x\left(x-2xy+y^{2}\right)}$$

Cancel out x in both numerator and denominator.

$$\frac{x-y}{-2xy+x+y^{2}}$$