soluzione
Eseguire le operazioni indicate
x - 1
x + 1
|
+
|
x + 1
x - 1
|
+
|
2x
x2 - 1
|
=
|
x - 1
(x + 1)
|
+
|
x + 1
(x - 1)
|
+
|
2x
(x - 1)(x + 1)
|
=
|
(x - 1)2 + (x + 1)2 + 1·2x
= =
(x - 1)(x + 1)
|
x2 - 2x + 1 + x2 + 2x + 1 + 2x
= =
(x - 1)(x + 1)
|
2x2 + 2x + 2
= =
(x - 1)(x + 1)
|
2(x2 + x + 1)
=
(x - 1)(x + 1)
|
|