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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 9: Rút gọn: $[\frac{ √x}{ √x +2} + $ $\frac{2 √x}{ √x -2} – $ $\frac{3x+4}{x-4}] . $$\frac{x √x +8}{2}$ ($x≥0 ; x $ $\neq 4 $ )

Toán Lớp 9: Rút gọn:
$[\frac{ √x}{ √x +2} + $ $\frac{2 √x}{ √x -2} – $ $\frac{3x+4}{x-4}] . $$\frac{x √x +8}{2}$
($x≥0 ; x $ $\neq 4 $ )

Comments ( 2 )

  1. ((\sqrt{x})/(\sqrt{x}+2)+(2\sqrt{x})/(\sqrt{x}-2)-(3x+4)/(x-4)).(x\sqrt{x}+8)/2 (x>=0,xne4)
    =[(\sqrt{x}(\sqrt{x}-2)+2\sqrt{x}(\sqrt{x}+2)-3x-4)/((\sqrt{x}+2)(\sqrt{x}-2))].((\sqrt{x})^3+2^3)/2
    =[(x-2\sqrt{x}+2x+4\sqrt{x}-3x-4)/((\sqrt{x}-2)(\sqrt{x}+2))].((\sqrt{x}+2)(x-2\sqrt{x}+4))/2
    =(2\sqrt{x}-4)/((\sqrt{x}-2)(\sqrt{x}+2)).((\sqrt{x}+2)(x-2\sqrt{x}+4))/2
    =(2(\sqrt{x}-2))/((\sqrt{x}-2)(\sqrt{x}+2)).((\sqrt{x}+2)(x-2\sqrt{x}+4))/(2)
    =x-2\sqrt{x}+4
     

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222-9+11+12:2*14+14 = ? ( )