soluzione Calcolare 5 - 2x (x2 - 5x + 6)2   -   1 x - 2 · (1 + 1 x - 2 )   +   1 x - 3 · ( 1 + 1 x - 3 )   =     =   5 - 2x (x2 - 5x + 6)2   -   1 x - 2 · x - 2 + 1 x - 2   +   1 x - 3 · x - 3 + 1 x - 3   =     =   5 - 2x (x2 - 5x + 6)2   -   1 x - 2 · x - 1 x - 2   +   1 x - 3 · x - 2 x - 3   =     =   5 - 2x (x2 - 5x + 6)2   -   x - 1 (x - 2)2   +   x - 2 (x - 3)2   =     =   5 - 2x (x - 2)2(x - 3)2   -   x - 1 (x - 2)2   +   x - 2 (x - 3)2   =     =   5 - 2x - (x - 1)(x -3)2 + (x - 2)(x - 2)2 (x - 2)2(x - 3)2   =     =   5 - 2x - (x - 1)(x2- 6x + 9) + (x - 2)3 (x - 2)2(x - 3)2   =     =   5 - 2x - (x3 - 6x2 + 9x - x2 + 6x - 9) + x3 - 6x2 + 12x - 8 (x - 2)2(x - 3)2   =     =   5 - 2x - x3 + 6x2 - 9x + x2 - 6x + 9 + x3 - 6x2 + 12x - 8 (x - 2)2(x - 3)2   =     =   x2 - 5x + 6 (x - 2)2(x - 3)2   =     =   (x - 2)(x - 3) (x - 2)2(x - 3)2   =     =   1 (x - 2)(x - 3)