\(=\left(\dfrac{2}{\sqrt{x}-2}-\dfrac{1}{\sqrt{x}+1}\right)\cdot\dfrac{\sqrt{x}+4}{\sqrt{x}\left(\sqrt{x}-2\right)}\)
\(=\dfrac{2\sqrt{x}+2-\sqrt{x}+2}{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}\cdot\dfrac{\sqrt{x}+4}{\sqrt{x}\left(\sqrt{x}-2\right)}\)
\(=\dfrac{\left(\sqrt{x}+4\right)^2}{\sqrt{x}\left(\sqrt{x}-2\right)^2\cdot\left(\sqrt{x}+1\right)}\)