Question

Mă puteți ajuta, vă rog, cu un exercițiu?

E(x)= (1/x^2-x + 1/x^2 + x) : x+2/x^3-x

Answer 1

$\left(\dfrac{1}{x^2-x}+\dfrac{1}{x^2+x}\right):\dfrac{x+2}{x^3-x}=\left(\dfrac{1}{x(x-1)}+\dfrac{1}{x(x+1)}\right)\cdot\dfrac{x(x^2-1)}{x+2}=$

$=\dfrac{x+1+x-1}{x(x+1)(x-1)}\cdot\dfrac{x(x+1)(x-1)}{x+2}=\dfrac{2x}{x+2}$