\(=\left(\dfrac{\sqrt{x}+2}{\sqrt{x}\left(\sqrt{x}-1\right)}-\dfrac{\sqrt{x}-2}{\left(\sqrt{x}+2\right)\left(\sqrt{x}-1\right)}\right)\cdot\dfrac{3\sqrt{x}\left(\sqrt{x}+2\right)}{3\sqrt{x}+2}\)
\(=\dfrac{x+4\sqrt{x}+4-x+2\sqrt{x}}{\sqrt{x}\left(\sqrt{x}-1\right)\left(\sqrt{x}+2\right)}\cdot\dfrac{3\sqrt{x}\left(\sqrt{x}+2\right)}{3\sqrt{x}+2}\)
\(=\dfrac{2\cdot3\sqrt{x}\left(3\sqrt{x}+2\right)}{\sqrt{x}\left(\sqrt{x}-1\right)\left(3\sqrt{x}+2\right)}=\dfrac{6}{\sqrt{x}-1}\)
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