1 1 ------- - ------- a*x - 1 a*x + 1
1/(a*x - 1) - 1/(a*x + 1)
2 ---------- 2 2 -1 + a *x
2/(-1 + a^2*x^2)
1/(-1.0 + a*x) - 1/(1.0 + a*x)
2 -------------------- (1 + a*x)*(-1 + a*x)
2/((1 + a*x)*(-1 + a*x))