Solve x+y/x-y+1

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

Evaluate

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

Short Solution Steps

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

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

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

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

Combine like terms in x+y+x-y.

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

Expand

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

Short Solution Steps

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

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

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

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

Combine like terms in x+y+x-y.

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