\(=\dfrac{2-x^2-2x}{\left(x-2\right)\left(x+2\right)}=\dfrac{-x^2-2x+2}{\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{2}{\left(x-2\right)\left(x+2\right)}-\dfrac{x}{x-2}\)
\(=\dfrac{2-x\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{2-x^2-2x}{\left(x-2\right)\left(x+2\right)}\)