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

Toán Lớp 8: Làm phép tính sau: (X/x+1+x-1/x):(x/x+1-x-1/x)

Toán Lớp 8: Làm phép tính sau:
(X/x+1+x-1/x):(x/x+1-x-1/x)

Comments ( 1 )

  1. Giải đáp:
    $\left(\dfrac{x}{x+1}+\dfrac{x-1}{x}\right):\left(\dfrac{x}{x+1}-\dfrac{x-1}{x}\right)=2x^2-1$
    Lời giải và giải thích chi tiết:
    $\left(\dfrac{x}{x+1}+\dfrac{x-1}{x}\right):\left(\dfrac{x}{x+1}-\dfrac{x-1}{x}\right)\,\,\,(x\ne0, x\ne-1)\\=\dfrac{x^2+(x-1)(x+1)}{x(x+1)}:\dfrac{x^2-(x-1)(x+1)}{x(x+1)}\\=\dfrac{x^2+x^2-1}{x(x+1)}.\dfrac{x(x+1)}{x^2-x^2+1}\\=2x^2-1$

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