[tex]\;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\}\;[/tex]