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

Toán Lớp 9: Rút gọn M=(√x+3)/(√x-3)-(√x-3)/(√x+3)):(√x/(√x+3)-1)

Toán Lớp 9: Rút gọn M=(√x+3)/(√x-3)-(√x-3)/(√x+3)):(√x/(√x+3)-1)

Comments ( 1 )

  1. Ta có: 
    M = ($\frac{√ x + 3}{√ x -3}$ – $\frac{√ x – 3}{√ x + 3}$) : ($\frac{√ x}{√ x + 3}$ – 1)
    <=> M = ($\frac{(√ x + 3)^2 – (√ x – 3)^2}{(√ x – 3)(√ x + 3)}$) : ($\frac{√ x – √ x – 3}{√ x + 3}$)
    <=> M = ($\frac{(√ x +3-√ x +3)-(√ x +3+√ x -3)}{x-9}$) : ($\frac{-3}{√ x +3}$)
    <=> M = ($\frac{6.2√ x }{x-9}$) : ($\frac{-3(√ x -3)}{(√ x +3)(√ x -3)}$)
    <=> M = ($\frac{12√ x }{x-9}$) : ($\frac{-3(√ x -3)}{x-9}$)
    <=> M = ($\frac{12√ x }{x-9}$) . ($\frac{-(x-9)}{3(√ x -3)}$)
    <=> M = $\frac{-4√ x }{√ x -3}$
    Đây là cách làm của mình nè 😉

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