soluzione
Eseguire le operazioni indicate
x - 1
x2 - x - 2
|
+
|
2
x2 - 4
|
+
|
2
x3 + x2 - 4x - 4
|
=
|
x - 1
(x - 2)(x + 1)
|
+
|
2
(x - 2)(x + 2)
|
+
|
2
(x + 1)(x - 2)(x + 2)
|
=
|
(x - 1)(x + 2) + 2(x + 1) + 2
= =
(x - 2)(x + 1)(x + 2)
|
x2 - x + 2x - 2 + 2x + 2 + 2
= =
(x - 2)(x + 1)(x + 2)
|
x2 + 3x + 2
= =
(x - 2)(x + 1)(x + 2)
|
(x + 1)(x + 2)
= =
(x - 2)(x + 1)(x + 2)
|
1
=
(x - 2)
|
|