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

Toán Lớp 8: TÌm x biết x(x+3)(x-3)-3(x-1)(x^2+x+1)=1-2x^3

Toán Lớp 8: TÌm x biết
x(x+3)(x-3)-3(x-1)(x^2+x+1)=1-2x^3

Comments ( 2 )

  1. x(x+3)(x-3)-3(x-1)(x^2+x+1)=1-2x^3
    ⇔x(x^2-3^2)-3(x^3-1^3)=1-2x^3
    ⇔x^3-9x-3x^3+3=1-2x^3
    ⇔(x^3-3x^3)-9x+3=1-2x^3
    ⇔-2x^3-9x+3-1+2x^3=0
    ⇔(2x^3-2x^3)-9x=-2
    ⇔9x=2
    ⇔x=2/9
    Vậy x=2/9

  2. Giải đáp:
    x=2/9
    Lời giải và giải thích chi tiết:
     Ta có:
    x(x+3)(x-3)-3(x-1)(x^2+x+1)=1-2x^3
    x(x^2-3^2)-3(x^3-1)-1+2x^3=0
    x^3-9x-3x^3+3-1+2x^3=0
    (x^2+2x^3-3x^3)-9x=1-3
    -9x=-2
    x={-2}/{-9}=2/9
    Vậy x=2/9
    ** HĐT 3:A^2-B^2=(A+B)(A-B)
    ** HĐT 7:A^3-B^3=(A-B)(A^2+AB+B^2)

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