Question

E(x)=(x+1supra2x + x-1supra3x) inmultit 6x supra x+5   aratati ca E(x)= 1

Answer 1

E(x)=((x+1)/2x+(x-1)/3x)·6x/(x+5) (dam numitor comun pe 6x in paranteza)
E(x)=(3(x+1)/6x-2(x-1)/6x)·6x/(x+5)
E(x)=((3x+3-2x+2)/6x)·6x/(x+5)
E(x)=(x+5)/6x·6x/(x+5) (simplifici 6x cu 6x si x+5 cu x+5)
E(x)=1