\(P=\left(\dfrac{3\sqrt{x}}{\sqrt{x}+2}-\dfrac{\sqrt{x}}{\sqrt{x}-2}+\dfrac{8\sqrt{x}}{x-4}\right):\dfrac{2\sqrt{x}+4-2\sqrt{x}-3}{\sqrt{x}+2}\)
\(=\dfrac{3\sqrt{x}\left(\sqrt{x}-2\right)-\sqrt{x}\left(\sqrt{x}+2\right)+8\sqrt{x}}{x-4}\cdot\dfrac{\sqrt{x}+2}{1}\)
\(=\dfrac{3x-6\sqrt{x}-x-2\sqrt{x}+8\sqrt{x}}{\sqrt{x}-2}=\dfrac{2x}{\sqrt{x}-2}\)
\(E=\dfrac{\sqrt{x}+1-\sqrt{x}}{\sqrt{x}+1}:\left(\dfrac{\sqrt{x}+2}{\sqrt{x}+3}-\dfrac{\sqrt{x}-3}{\sqrt{x}-2}+\dfrac{\sqrt{x}-2}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-2\right)}\right)\)
\(=\dfrac{1}{\sqrt{x}+1}:\dfrac{x-4-x+9+\sqrt{x}-2}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-2\right)}\)
\(=\dfrac{1}{\sqrt{x}+1}\cdot\dfrac{\left(\sqrt{x}+3\right)\left(\sqrt{x}-2\right)}{\sqrt{x}+3}\)
\(=\dfrac{\sqrt{x}-2}{\sqrt{x}+1}\)
