Rút gọn biểu thức P. Nhờ mọi người giải ạ

`P=(1/(\sqrt(x)-1)-1/(\sqrt(x))):(1/(\sqrt(x)-1)-1/(\sqrt(x)+1))`       `(x>1)`

`=((\sqrt(x))/(\sqrt(x)(\sqrt(x)-1))-(\sqrt(x)-1)/(\sqrt(x)(\sqrt(x)-1))):((\sqrt(x)+1)/((\sqrt(x)-1)(\sqrt(x)+1))-(\sqrt(x)-1)/((\sqrt(x)+1)(\sqrt(x)-1)))`

`=(\sqrt(x)-\sqrt(x)+1)/(\sqrt(x)(\sqrt(x)-1)):(\sqrt(x)+1-\sqrt(x)+1)/((\sqrt(x)+1)(\sqrt(x)-1))`

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

`=1/(\sqrt(x)(\sqrt(x)-1)).((\sqrt(x)-1)(\sqrt(x)+1))/2`

`=(\sqrt(x)+1)/(2\sqrt(x))`

Vậy với `x>1` thì `P=(\sqrt(x)+1)/(2\sqrt(x))`