Đáp án:
Giải thích các bước giải:
a) `M=(\frac{2x+\sqrt{x}}{2x+5\sqrt{x}+2}+\frac{3}{\sqrt{x}+2}):\frac{\sqrt{x}+3}{\sqrt{x}+10}`
ĐK: `x \ge 0`
`M=[\frac{\sqrt{x}(2\sqrt{x}+1)}{2x+4\sqrt{x}+\sqrt{x}+2}+\frac{3}{\sqrt{x}+2}].\frac{\sqrt{x}+10}{\sqrt{x}+3}`
`M=[\frac{\sqrt{x}(2\sqrt{x}+1)}{2\sqrt{x}(\sqrt{x}+2)+(\sqrt{x}+2)}+\frac{3}{\sqrt{x}+2}].\frac{\sqrt{x}+10}{\sqrt{x}+3}`
`M=[\frac{\sqrt{x}(2\sqrt{x}+1)}{(2\sqrt{x}+1)(\sqrt{x}+2)}+\frac{3}{\sqrt{x}+2}].\frac{\sqrt{x}+10}{\sqrt{x}+3}`
`M=(\frac{\sqrt{x}}{\sqrt{x}+2}+\frac{3}{\sqrt{x}+2}).\frac{\sqrt{x}+10}{\sqrt{x}+3}`
`M=\frac{\sqrt{x}+3}{\sqrt{x}+2}.\frac{\sqrt{x}+10}{\sqrt{x}+3}`
`M=\frac{\sqrt{x}+10}{\sqrt{x}+2}`
