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a fost răspuns

( x - 1 )³ - x + 1 = x ( 1 - x ) (2 - x )
X ∈ R

Răspuns :

Eminonis
(x-1)³-(x-1)=x(x-1)(x-2)
(x-1)[(x-1)²-1]=x(x-1)(x-2)
(x-1-1)(x-1+1)=x(x-2)
(x-2)x=x(x-2)  (A)
x³-3x²+3x-1 - x+1 = (x-x²)(2-x)
x³ - 3x² + 2x  =  2x - 2x² - x² + x³
     x³-3x²+2x =  x³-3x²+2x   (A)

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