Question

Answer 1

`D=(\sqrt{x}+2)/(\sqrt{x}-3)+(\sqrt{x}-2)/(\sqrt{x}+3)-(30)/(x-9)\  (x\ge0;x\ne 9)`

`=((\sqrt{x}+2)(\sqrt{x}+3)+(\sqrt{x}-2)(\sqrt{x}-3)-30)/((\sqrt{x}-3)(\sqrt{x}+3))`

`=(x+5\sqrt{x}+6+x-5\sqrt{x}+6-30)/((\sqrt{x}-3)(\sqrt{x}+3))`

`=(2x-18)/(x-9)`

`=(2(x-9))/(x-9)=2`

Answer 2

\(=\dfrac{x+5\sqrt{x}+6+x-5\sqrt{x}+6-30}{x-9}\)

\(=\dfrac{2x-18}{x-9}=2\)