Question

Heyy! Cine imi poate rezolva si mie E(x) = X/x+2 -2x/2-x +x^2 +2x +1/x^2 -4 .

Answer 1

  $\;E(x)=\frac{x}{x+2}-\frac{2x}{-(x-2)}+\frac{x^2+2x+1}{x^2-4}=\\ =\frac{x(x-2)+2x(x+2)+x^2+2x+1}{(x+2)(x-2)}=\\ =\frac{x^2-2x+2x^2+4x+x^2+2x+1}{(x+2)(x-2)}=\\ =\frac{4x^2+4x+1}{(x-2)(x+2)}=\\ =\frac{(2x+1)^2}{(x-2)(x+2)}\\  E(x)\;definit\;pe\;x\;\in\;\mathbb{R}\;- \;\{-2;+2\}\;$