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