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(×-1)la puterea3-×+1=×(1-×)(2-×) orice ar fi x apartine R

Răspuns :

(x-1)³-x+1=x(2-x-2x+x²)
x³-3x²+3x-1-x+1=2x-3x²+x³
x³-x³-3x²+3x²+2x-2x-1+1=0
0=0 oricare x∈R