x/(x^2-1) + 1/(1-x^2) = x/(x^2-1) - 1/(x^2-1) = (x-1)/(x^2-1) = (x-1)/(x-1)(x+1) = 1/(x+1)
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x/(x^2-1) + 1/(1-x^2) = x/(x^2-1) - 1/(x^2-1) = (x-1)/(x^2-1) = (x-1)/(x-1)(x+1) = 1/(x+1)