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E(x) = x la puterea a 3a -4x / x patrat -4x +4
F(x)=xla puterea 3 + 4x patrat +4x / x patrat -4


Răspuns :

E(x)=(x³-4x)/(x²-4x+4)
E(x)=x(x²-4)/(x-2)²
E(x)=x(x-2)(x+2)/(x-2)(x-2)= simpli.cu x-2
E(x)=x(x+2)/(x-2)
cond.x≠2
x₁=0
x+2=0
x₂=-2
x∈{-2,0}

F(x)=(x³+4x²+4x)/(x²-4)
F(x)=x(x²+4x+4)/(x-2)(x+2)
f(x)=x(x+2)(x+2)/(x-2)(x+2)=simplif.cu x+2
F(x)=x(x+2)/(x-2)
⇒E(x)=F(x)