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se considera expresia E(x)=(x-1-x la a 2 supra x+2):x-2 supra x+2 dau coroana aratati ca E(x)=1

Răspuns :

E(x)=(x-1-x²/(x+2): (x-2)/(x+2)=
=
[(x-1)(x+2)-x²]/(x+2) × (x+2)/(x-2)=
=(x²-x+2x-2-x²)/1 × 1/(x-2)=
=(x-2)/1 × 1/(x-2)=1