\(=\dfrac{2,5x+5-0,5x+1}{\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{2.5\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}+\dfrac{-0.5\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{2.5}{x-2}+\dfrac{-0.5}{x+2}\)
\(=\dfrac{5}{2x-4}+\dfrac{-1}{2x+4}\)