soluzione


Calcolare

x2 - 1

x2 + 1
 ·  ( x

x + 1
  +   x

x - 1
- 1)   =  


  =   x2 - 1

x2 + 1
 ·  x(x - 1) + x(x + 1) - (x2 - 1)

(x - 1)(x + 1)
  =  


  =   x2 - 1

x2 + 1
 ·  x2 - x + x2 + x - x2 + 1

(x - 1)(x + 1)
  =  


  =   x2 - 1

x2 + 1
 ·  x2 + 1

(x - 1)(x + 1)
  =  


  =   (x - 1)(x + 1)

x2 + 1
 ·  x2 + 1

(x - 1)(x + 1)
  =  


  = 1