Solve x+y/x-frac{y^2{x}}=

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

Evaluate

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

Short Solution Steps

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

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

Since \frac{xx}{x} and \frac{y^{2}}{x} have the same denominator, subtract them by subtracting their numerators.

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

Do the multiplications in xx-y^{2}.

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

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

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

Factor the expressions that are not already factored.

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

Cancel out x+y in both numerator and denominator.

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

Expand

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

Short Solution Steps

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

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

Since \frac{xx}{x} and \frac{y^{2}}{x} have the same denominator, subtract them by subtracting their numerators.

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

Do the multiplications in xx-y^{2}.

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

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

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

Factor the expressions that are not already factored.

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

Cancel out x+y in both numerator and denominator.

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