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

Toán Lớp 9: Rút gọn B `B=“(\frac{x}{x-4}-\frac{1}{\sqrt{x}-2}):“\frac{\sqrt{x}}{\sqrt{x}+2}` với `x>0; x`$\neq$ `4`

Toán Lớp 9: Rút gọn B
B=(\frac{x}{x-4}-\frac{1}{\sqrt{x}-2}):\frac{\sqrt{x}}{\sqrt{x}+2} với x>0; x$\neq$ 4

Comments ( 1 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
     B=(x/(x-4)-1/(sqrtx-2)):sqrtx/(sqrtx+2)
       =[x/((sqrtx-2)(sqrtx+2))-(sqrtx+2)/((sqrtx-2)(sqrtx+2))]. (sqrtx+2)/sqrtx
       =(x-sqrtx-2)/((sqrtx-2)(sqrtx+2)). (sqrtx+2)/sqrtx
       =(x-sqrtx-2)/(sqrtx(sqrtx-2))
       =(x+sqrtx-2sqrtx-2)/(sqrtx(sqrtx-2))
       =(sqrtx(sqrtx+1)-2(sqrtx+1))/(sqrtx(sqrtx-2))
       =((sqrtx-2)(sqrtx+1))/(sqrtx(sqrtx-2))
       =(sqrtx+1)/sqrtx

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

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