\(A=\dfrac{\left(\sqrt{x}+2\right)\left(\sqrt{x}+3\right)-\left(\sqrt{x}+3\right)}{\left(\sqrt{x}-3\right)\left(\sqrt{x}+3\right)}\\ A=\dfrac{x+5\sqrt{x}+6-\sqrt{x}-3}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-3\right)}=\dfrac{x+4\sqrt{x}+3}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-3\right)}\\ A=\dfrac{\left(\sqrt{x}+1\right)\left(\sqrt{x}+3\right)}{\left(\sqrt{x}+3\right)\left(\sqrt{x}-3\right)}=\dfrac{\sqrt{x}+1}{\sqrt{x}-3}\)
\(A=\dfrac{\sqrt{x}+2}{\sqrt{x}-3}-\dfrac{\sqrt{x}+3}{x-9}\)
\(=\dfrac{\sqrt{x}+2}{\sqrt{x}-3}-\dfrac{1}{\sqrt{x}-3}\)
\(=\dfrac{\sqrt{x}+1}{\sqrt{x}-3}\)
