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)