`(\sqrt{x}-(3\sqrt{x})/(1-\sqrt{x}))*((\sqrt{x}-1)/(x\sqrt{x}+4x+4\sqrt{x}))(x>0,x\ne1)`
`=(\sqrt{x}+(3\sqrt{x})/(\sqrt{x}-1))*((\sqrt{x}-1)/(\sqrt{x}(x+4\sqrt{x}+4))`
`=((\sqrt{x}(\sqrt{x}-1))/(\sqrt{x}-1)+(3\sqrt{x})/(\sqrt{x}-1))*((\sqrt{x}-1)/(\sqrt{x}(x+2*\sqrt{x}*2+2^2)))`
`=(\sqrt{x}(\sqrt{x}-1)+3\sqrt{x})/(\sqrt{x}-1)*(\sqrt{x}-1)/(\sqrt{x}(\sqrt{x}+2)^2)`
`=(x-\sqrt{x}+3\sqrt{x})/(\sqrt{x}(\sqrt{x}+2)^2)`
`=(x+2\sqrt{x})/(\sqrt{x}(\sqrt{x}+2)^2)`
`=(\sqrt{x}(\sqrt{x}+2))/(\sqrt{x}(\sqrt{x}+2)^2)`
`=1/(\sqrt{x}+2)`
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