\(A=\dfrac{6\sqrt{x}+9}{x\sqrt{x}-27}+1:\left(\dfrac{x+9+3\sqrt{x}}{\sqrt{x}}\right)-\dfrac{1}{\sqrt{x}+3}\)
\(=\dfrac{6\sqrt{x}+9+\sqrt{x}\left(\sqrt{x}-3\right)}{\left(\sqrt{x}-3\right)\left(x+3\sqrt{x}+9\right)}-\dfrac{1}{\sqrt{x}+3}\)
\(=\dfrac{x+3\sqrt{x}+9}{\left(\sqrt{x}-3\right)\left(x+3\sqrt{x}+9\right)}-\dfrac{1}{\sqrt{x}+3}\)
=1/căn x-3-1/căn x+3
\(=\dfrac{\sqrt{x}+3-\sqrt{x}+3}{x-9}=\dfrac{6}{x-9}\)

