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

Toán Lớp 8: $\frac{5}{x-4}$ + $\frac{4}{x+4}$ -$\frac{2x-24}{x^2-16}$

Toán Lớp 8: $\frac{5}{x-4}$ + $\frac{4}{x+4}$ -$\frac{2x-24}{x^2-16}$

Comments ( 2 )

  1. Giải đáp:
     $\dfrac{5}{x-4}+\dfrac{4}{x+4}-\dfrac{2x-24}{x²-16}$
    $= \dfrac{5.(x+4)}{(x-4).(x+4)}+\dfrac{4.(x-4)}{(x-4).(x+4)}-\dfrac{2x-24}{(x-4).(x+4)}$
    $= \dfrac{5x+20+4x-16-2x+24}{(x-4).(x+4)}$
    $= \dfrac{7x+28}{(x-4).(x+4)}$
     $= \dfrac{7.(x+4)}{(x-4).(x+4)}$
    $= \dfrac{7}{x-4}$

  2. Giải đáp + Lời giải và giải thích chi tiết:
    5/(x-4)+4/(x+4)-(2x-24)/(x^2-16)
    =(5(x+4))/((x-4)(x+4))+(4(x-4))/((x+4)(x-4))-(2x-24)/((x-4)(x+4))
    =(5x+20+4x-16-2x+24)/((x-4)(x+4))
    =(7x+28)/((x-4)(x+4))
    =(7(x+4))/((x-4)(x+4))
    =7/(x-4)

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

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