soluzione Calcolare ( 1 8x3 + 1   -   1 2x + 1 ) · 64x6 - 1 2x2 - x - ( 1 8x3 - 1 - 1 2x - 1 )· 64x6 - 1 2x2 - x   =     = ( 1 (2x + 1)(4x2 - 2x +1)   -   1 2x + 1 ) · 64x6 - 1 2x2 - x - ( 1 (2x - 1)(4x2 + 2x +1) - 1 2x - 1 )· 64x6 - 1 2x2 - x   =     = 1 - (4x2 - 2x + 1) (2x + 1)(4x2 - 2x +1) · 64x6 - 1 2x2 - x - 1 - (4x2 + 2x + 1) (2x - 1)(4x2 + 2x +1) · 64x6 - 1 2x2 - x   =     = 1 - 4x2 + 2x - 1 (2x + 1)(4x2 - 2x +1) · 64x6 - 1 2x2 - x - 1 - 4x2 - 2x - 1 (2x - 1)(4x2 + 2x +1) · 64x6 - 1 2x2 - x   =     = - 4x2 + 2x (2x + 1)(4x2 - 2x +1) · 64x6 - 1 2x2 - x - - 4x2 - 2x (2x - 1)(4x2 + 2x +1) · 64x6 - 1 2x2 - x   =     = -2x(2x - 1) (2x + 1)(4x2 - 2x + 1) · (2x - 1)(2x + 1)(4x2 + 2x + 1)(4x2 - 2x + 1) x(2x - 1) + (vado a capo col meno: qui metto piu' ed a capo metto meno           - -2x(2x + 1) (2x-1)(4x2+2x+1) · (2x - 1)(2x + 1)(4x2 + 2x + 1)(4x2 - 2x + 1) x(2x - 1)   =     = - 2(2x - 1)(4x2 + 2x + 1) - [ -2(2x + 1)2(4x2 - 2x + 1) 2x - 1 ]   =     = - 2(2x - 1)2(4x2 + 2x + 1) +2(2x + 1)2(4x2 - 2x + 1) 2x - 1   =     = - 2(2x - 1) (8x3 - 1) +2(2x + 1)(8x3 + 1) 2x - 1   =     = - 32x4 + 4x + 16 x3 - 2 + 32x4 + 4x + 16 x3 + 2 2x - 1   =     = 32x3 + 8x 2x - 1   =     = 8x(4x2 + 1) 2x - 1   =