Rút gọn biểu thức B .

Rút gọn \[B\]:

\[B = \frac{{\sqrt x }}{{\sqrt x  + 2}} - \frac{{4\sqrt x }}{{4 - x}}(x > 0,x \ne 4)\]

\[B = \frac{{\sqrt x }}{{\sqrt x  + 2}} + \frac{{4\sqrt x }}{{(\sqrt x  - 2)(\sqrt {x + 2} )}}\]

\[B = \frac{{\sqrt x (\sqrt x  - 2)}}{{(\sqrt x  - 2)(\sqrt {x + 2} )}} + \frac{{4\sqrt x }}{{(\sqrt x  - 2)(\sqrt {x + 2} )}}\]

\[B = \frac{{x - 2\sqrt x  + 4\sqrt x }}{{(\sqrt x  - 2)(\sqrt {x + 2} )}}\]

\[B = \frac{{x + 2\sqrt x }}{{(\sqrt x  - 2)(\sqrt {x + 2} )}}\]

\[B = \frac{{\sqrt x (\sqrt x  + 2)}}{{(\sqrt x  - 2)(\sqrt {x + 2} )}}\]

\[B = \frac{{\sqrt x }}{{\sqrt x  - 2}}\]

Vậy \[B = \frac{{\sqrt x }}{{\sqrt x  - 2}}\] với \[x > 0,x \ne 4\]