Simplify: 1x+1−1x1x−1−1x+1\frac{\frac{1}{x+1} - \frac{1}{x}}{\frac{1}{x-1} - \frac{1}{x+1}}x−11−x+11x+11−x1
xx+1\frac{x}{x+1}x+1x
−(x+1)2(x−1)\frac{-(x+1)}{2(x-1)}2(x−1)−(x+1)
−12\frac{-1}{2}2−1
x(x−1)−2(x+1)\frac{x(x-1)}{-2(x+1)}−2(x+1)x(x−1)