Question

Rút gọn:

A= \(\dfrac{10\sqrt{x}}{x+3\sqrt{x}-4}\) - \(\dfrac{2\sqrt{x}-3}{\sqrt{x}+4}\) + \(\dfrac{\sqrt{x}+1}{1-\sqrt{x}}\) ( với x ≥ 0; x ≠ 1)

Answer 1

Với `x >= 0,x ne 1` có:

`A=[10\sqrt{x}]/[(\sqrt{x}-1)(\sqrt{x}+4)]-[2\sqrt{x}-3]/[\sqrt{x}+4]-[\sqrt{x}+1]/[\sqrt{x}-1]`

`A=[10\sqrt{x}-(2\sqrt{x}-3)(\sqrt{x}-1)-(\sqrt{x}+1)(\sqrt{x}+4)]/[(\sqrt{x}-1)(\sqrt{x}+4)]`

`A=[10\sqrt{x}-2x+2\sqrt{x}+3\sqrt{x}-3-x-4\sqrt{x}-\sqrt{x}-4]/[(\sqrt{x}-1)(\sqrt{x}+4)]`

`A=[-3x+10\sqrt{x}-7]/[(\sqrt{x}-1)(\sqrt{x}+4)]`

`A=[(\sqrt{x}-1)(-3\sqrt{x}-7)]/[(\sqrt{x}-1)(\sqrt{x}+4)]`

`A=[-3\sqrt{x}-7]/[\sqrt{x}+4]`