Giúp em rút gọn P với ạ

`ĐKXĐ: x ≥ 0, x \ne 1`

`P = ((2x+1)/(x\sqrt{x}-1) - 1/(\sqrt{x}-1)) : (1 - (x+4)/(x+\sqrt{x}+1))`

`=((2x+1)/((\sqrt{x})^3-1^3) - 1/(\sqrt{x}-1)) : ((x+\sqrt{x}+1)/(x+\sqrt{x}+1) - (x+4)/(x+\sqrt{x}+1))`

`=((2x+1)/((\sqrt{x}-1)(x+\sqrt{x}+1)) - (x+\sqrt{x}+1)/((\sqrt{x}-1)(x+\sqrt{x}+1))) : (x+\sqrt{x}+1-x-4)/(x+\sqrt{x}+1)`

`=(2x+1-x-\sqrt{x}-1)/((\sqrt{x}-1)(x+\sqrt{x}+1)) : (\sqrt{x}-3)/(x+\sqrt{x}+1)`

`=(x-\sqrt{x})/((\sqrt{x}-1)(x+\sqrt{x}+1)) * (x+\sqrt{x}+1)/(\sqrt{x}-3)`

`=(\sqrt{x}(\sqrt{x}-1))/((\sqrt{x}-1)(x+\sqrt{x}+1)) * (x+\sqrt{x}+1)/(\sqrt{x}-3)`

`=\sqrt{x}/(x+\sqrt{x}+1) * (x+\sqrt{x}+1)/(\sqrt{x}-3)`

`=\sqrt{x}/(\sqrt{x}-3)`

`=(\sqrt{x}(\sqrt{x}+3))/(x-9)`

`=(x+3\sqrt{x})/(x-9)`

Vậy `P = (x+3\sqrt{x})/(x-9)`