`#AkaShi`
`E=((x\sqrt{x}+1)/(x-1)-(x-1)/(\sqrt{x}-1)):(\sqrt{x}+(\sqrt{x})/(\sqrt{x}-1))` Đk: ` x >=0 ; x \ne 1`
`E=[(x\sqrt{x}+1)/(x-1)-((x-1)(sqrt{x}+1))/(x-1)]:[(\sqrt{x}(\sqrt{x}-1))/(\sqrt{x}-1)+(\sqrt{x})/(\sqrt{x}-1)]`
`E=(x\sqrt{x}+1-x\sqrt{x}-x+\sqrt{x}+1)/(x-1):(x)/(\sqrt{x}-1)`
`E=(-x+\sqrt{x}+2)/(x-1)*(\sqrt{x}-1)/(x)`
`E=-(x-sqrt{x}-2)/(x-1)*(\sqrt{x}-1)/(x)`
`E=-((\sqrt{x}+1)(\sqrt{x}-2))/(x-1)*(\sqrt{x}-1)`
`E=-(\sqrt{x}-2)/(x)`
..............................
`F=(1/(x-\sqrt{x})+1/(\sqrt{x}-1)):(\sqrt{x}+1)/(x-2\sqrt{x}+1)` (Đk: `x >=0 ; x \ne 1` )
`F=[1/(\sqrt{x}(\sqrt{x}-1))+(\sqrt{x})/(\sqrt{x}(\sqrt{x}-1))]*(x-2.\sqrt{x}+1)/(\sqrt{x+1})`
`F=(1+sqrt{x})/(\sqrt{x}(\sqrt{x}-1))*((\sqrt{x}-1)^2)/(\sqrt{x}+1)`
`F=(\sqrt{x}-1)/(sqrt{x})`
.............................
`G=1/(\sqrt{x}-1)-(x+2)/(x\sqrt{x}-1)-(\sqrt{x}+1)/(x+\sqrt{x}+1)` (Đk: `x >= 0 ; x \ne 1` )
`G=(x+\sqrt{x}+1)/(x\sqrt{x}-1)-(x+2)/(x\sqrt{x}-1)-((\sqrt{x}-1)(\sqrt{x}-1))/(x\sqrt{x}-1)`
`G=(x+\sqrt{x}+1-x-2-x+1)/(x\sqrt{x}-1)`
`G=(-x+\sqrt{x})/(x\sqrt{x}-1)`
`G=(-\sqrt{x}(\sqrt{x}-1))/((\sqrt{x}-1)(x+\sqrt{x}+1))`
`G=-(\sqrt{x})/(x+\sqrt{x}+1)`
