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
|