Question

E(x)= (x+1+2/x-1 )ori x la a2a -2x+1 /x la a3 -xla a2+x-1 ...aratati pt orice x Real , E(x)=1 .

Answer 1

x+1+ $\frac{2}{x-1}$)* $\frac{x^2-2x+1}{x^3-x^2+x-1}$=$\frac{(x+1)(x-1)+2}{x-1}$ *$\frac{(x-1)^2}{x^2(x-1)+(x-1)}$

E(x)=$\frac{x^2+1}{x-1}$*$\frac{(x-1)^2}{(x^2+1)(x-1)}$

E(x)=$\frac{x^2+1}{x-1}$ * $\frac{x-1}{x^2+1}$

E(x)=1 (dupa simplificare)