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

Toán Lớp 8: 5x-2/x^2-4-3/x+2+x/x-2 rút gọn phân thức

Toán Lớp 8: 5x-2/x^2-4-3/x+2+x/x-2 rút gọn phân thức

Comments ( 2 )

  1. Giải đáp:
    $\dfrac{5x-2}{x²-4}-\dfrac{3}{x+2}+\dfrac{x}{x-2}$
    $= \dfrac{5x-2}{(x+2).(x-2)}-\dfrac{3.(x-2)}{(x+2).(x-2)}+\dfrac{x.(x+2)}{(x+2).(x-2)}$
    $= \dfrac{5x-2-3x+6+x²+2x}{(x+2).(x-2)}$
    $= \dfrac{x²+4x+4}{(x+2).(x-2)}$
    $= \dfrac{(x+2)²}{(x+2).(x-2)}$
    $= \dfrac{x+2}{x-2}$
     

  2. Giải đáp + Lời giải và giải thích chi tiết:
     (5x-2)/(x²-4)-3/(x+2)+x/(x-2)          (x\ne±2)
    = (5x-2)/((x-2)(x+2))-(3(x-2))/((x-2)(x+2))+(x(x+2))/((x-2)(x+2))
    = (5x-2-3x+6+x²+2x)/((x-2)(x+2))
    = (x²+4x+4)/((x-2)(x+2))
    = ((x+2)²)/((x-2)(x+2))
    = (x+2)/(x-2)

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