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

Toán Lớp 8: (x^3 – 7x + 3 – x^2) : (x – 3)

Toán Lớp 8: (x^3 – 7x + 3 – x^2) : (x – 3)

Comments ( 2 )

  1. Giải đáp:
     
    Lời giải và giải thích chi tiết:
       (x³ – 7x + 3 – x²) : (x – 3)
    = (x³ – 3x² + 2x² – 6x – x + 3) : (x – 3)
    = [x²(x – 3) + 2x(x – 3) – (x – 3)] : (x – 3)
    = (x – 3)(x² + 2x – 1) : (x – 3)
    = $\dfrac{(x-3)(x^2+2x-1)}{x-3}$
    = x² + 2x – 1

  2. $\\x^3 – 7x + 3-x^2\\=x^3 – x^2 – 7x + 3\\=x^3 – 3x^2 + 2x^2 – 6x – x + 3\\=x^2 (x-3) + 2x (x-3) – (x-3)\\=(x-3)(x^2+2x-1)\\(x^3 – 7x +3-x^2):(x-3)\\=(x^2+2x-1)(x-3):(x-3)\\=x^2+2x-1$
    Vậy $(x^3-7x+3-x^2):(x-3)=x^2+2x-1$

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

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