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

Toán Lớp 8: `text{Cho a =}` `x^3 + 3x^2 + 6x ; b = y^3 + 3y^2 + 6y` `text{và a + b = 8. Tính: x + y}`

Toán Lớp 8: text{Cho a =} x^3 + 3x^2 + 6x ; b = y^3 + 3y^2 + 6y text{và a + b = 8. Tính: x + y}

Comments ( 1 )

  1. Ta có a + b = 8 
    => x3 + 3x2 + 6x + y3 + 3y2 + 6y + 8 = 0
    => (x3 + 3x2 + 3x + 1) + (y3 + 3y2 + 3y + 1) + (3x + 3y + 6) = 0
    => (x + 1)3 + (y + 1)3 + 3(x + y + 2) = 0
    => (x + y + 2)[(x + 1)2 + (x + 1)(y + 1) + (y + 1)2 + 3] = 0
    Vì (x + 1)2 + (x + 1)(y + 1) + (y + 1)2 + 3 
    => x + y + 2 = 0
    => x + y = -2
    Vậy A = -2 
     

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

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