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Aratati ca
[tex]E(x)=[(x+2)^3-(x+2)^2]:(x+1)[/tex]
Este patrat perfect, oricare x∈R \ {-1}


Răspuns :

E(x) = [(x+2)² (x+2-1)]: (x+1) = (x+2)²·(x+1) : (x+1) = (x+2)² = patrat perfect