Đáp án+Giải thích các bước giải:
4,
`F=\frac{3\sqrt{x}+1}{x+2\sqrt{x}-3}-\frac{2}{\sqrt{x}+3}(x≥0;\ne1)`
`F=\frac{3\sqrt{x}+1-2(\sqrt{x}-1)}{(\sqrt{x}-1)(\sqrt{x}+3)}`
`F=\frac{3\sqrt{x}+1-2\sqrt{x}+2}{(\sqrt{x}-1)(\sqrt{x}+3)}`
`F=\frac{\sqrt{x}+3}{(\sqrt{x}-1)(\sqrt{x}+3)}`
`F=\frac{1}{\sqrt{x}-1}`
5,
`G=\frac{\sqrt{x}}{\sqrt{x}-3}+\frac{2\sqrt{x}-24}{x-9}(x\ne9;x≥0)`
`G=\frac{\sqrt{x}(\sqrt{x}+3)+2\sqrt{x}-24}{(\sqrt{x}-3)(\sqrt{x}+3)}`
`G=\frac{x+3\sqrt{x}+2\sqrt{x}-24}{(\sqrt{x}-3)(\sqrt{x}+3)}`
`G=\frac{x+5\sqrt{x}-24}{(\sqrt{x}-3)(\sqrt{x}+3)}`
`G=\frac{(\sqrt{x}-3)(\sqrt{x}+8)}{(\sqrt{x}-3)(\sqrt{x}+3)}`
`G=\frac{\sqrt{x}+8}{\sqrt{x}+3}`
