Determine the partial fraction decomposition form of 1x2−1\dfrac{1}{x^2 - 1}x2−11.
1x−1+1x+1\dfrac{1}{x-1} + \dfrac{1}{x+1}x−11+x+11
12(x−1)−12(x+1)\dfrac{1}{2(x-1)} - \dfrac{1}{2(x+1)}2(x−1)1−2(x+1)1
1x−1−1x+1\dfrac{1}{x-1} - \dfrac{1}{x+1}x−11−x+11
12(x+1)−12(x−1)\dfrac{1}{2(x+1)} - \dfrac{1}{2(x-1)}2(x+1)1−2(x−1)1