Упростить x^2/x^2-1-x/x+1

Question

Упростить x^2/x^2-1-x/x+1

Answer 1

Х^2/(х^2-1) - х/(х+1) = х^2/[(х+1)(х-1)] - х/(х+1) =
= х^2/[(х+1)(х-1)] - х(х-1)/[(х+1)(х-1)] =
= (х^2 - х*2 +1)/[(х+1)(х-1)] =
= 1/(х^2-1)