2 x - 3 ------ 2 x - 1
(x^2 - 3)/(x^2 - 1)
1 + 1/(1 + x) - 1/(-1 + x)
1 1 1 + ----- - ------ 1 + x -1 + x
(-3.0 + x^2)/(-1.0 + x^2)
2 -3 + x ---------------- (1 + x)*(-1 + x)
(-3 + x^2)/((1 + x)*(-1 + x))
2 1 - ------- 2 -1 + x
1 - 2/(-1 + x^2)