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

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

Evaluate

$$1$$

Short Solution Steps

Divide x by x to get 1.

$$1+\frac{xy}{x}-\frac{xy+y^{2}}{x}+\frac{y^{2}}{x}$$

Cancel out x in both numerator and denominator.

$$1+y-\frac{xy+y^{2}}{x}+\frac{y^{2}}{x}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1+y times \frac{x}{x}.

$$\frac{\left(1+y\right)x}{x}-\frac{xy+y^{2}}{x}+\frac{y^{2}}{x}$$

Since \frac{\left(1+y\right)x}{x} and \frac{xy+y^{2}}{x} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\left(1+y\right)x-\left(xy+y^{2}\right)}{x}+\frac{y^{2}}{x}$$

Do the multiplications in \left(1+y\right)x-\left(xy+y^{2}\right).

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

Combine like terms in x+yx-xy-y^{2}.

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

Since \frac{x-y^{2}}{x} and \frac{y^{2}}{x} have the same denominator, add them by adding their numerators.

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

Combine like terms in x-y^{2}+y^{2}.

$$\frac{x}{x}$$

Cancel out x in both numerator and denominator.

$$1$$

Factor

$$1$$