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Se considera expresia E(x)=(1+2-x/x+1):x-1/(2x+1)patrat -(x+2)patrat aratati ca E(x)=9

Răspuns :

E(x)=[(1+(2-x)/(x+1)]:(x-1)/[(2x+1)²-(x+2)²]=[(x+1+2-x)/(x+1)]*[(2x+1+x+2)(2x+1-x-2)]/(x-1)=[3/(x+1)]*[(3x+3)(x-1)]/(x-1) simplificam prin (x-1)⇒E(x)=[3/(x+1)]*3(x+1) simplificam prin (x+1)⇒E(x)=3*3=9