$(x>0;x\ne 1)$
`B=({\sqrt{x}-2}/{x^2+2\sqrt{x}+1}+{\sqrt{x}+2}/{x-1}) ÷ {2\sqrt{x}}/{x-1}`
`B=[{\sqrt{x}-2}/{(\sqrt{x}+1)^2}+{\sqrt{x}+2}/{(\sqrt{x}+1)(\sqrt{x}-1)}]. {x-1}/{2\sqrt{x}}`
`B={(\sqrt{x}-2)(\sqrt{x}-1)+(\sqrt{x}+2)(\sqrt{x}+1)}/{(\sqrt{x}-1)(\sqrt{x}+1)(\sqrt{x}+1)}. {x-1}/{2\sqrt{x}}`
`B={x-3\sqrt{x}+2+x+3\sqrt{x}+2}/{(x-1)(\sqrt{x}+1)}. {x-1}/{2\sqrt{x}}`
`B={2(x+2)}/{(\sqrt{x}+1).2\sqrt{x}}`
`B={x+2}/{x+\sqrt{x}}`
