Simplify the complex fraction 1x−1y1x2−1y2\dfrac{\dfrac{1}{x} - \dfrac{1}{y}}{\dfrac{1}{x^2} - \dfrac{1}{y^2}}x21−y21x1−y1.
xyx+y\dfrac{xy}{x+y}x+yxy
x+yxy\dfrac{x+y}{xy}xyx+y
xy(x+y)xy(x+y)xy(x+y)
1x+y\dfrac{1}{x+y}x+y1