Simplify the complex fraction 1x+1y1x−1y\dfrac{\frac{1}{x} + \frac{1}{y}}{\frac{1}{x} - \frac{1}{y}}x1−y1x1+y1.
x−yx+y\frac{x - y}{x + y}x+yx−y
x+yy−x\frac{x + y}{y - x}y−xx+y
y−xx+y\frac{y - x}{x + y}x+yy−x
xyx−y\frac{xy}{x - y}x−yxy