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

Toán Lớp 8: Chứng minh : Nếu a + b + c = 0 thì `a^3 + b^3 + c^3 = 3abc`

Toán Lớp 8: Chứng minh :
Nếu a + b + c = 0 thì a^3 + b^3 + c^3 = 3abc

Comments ( 1 )

  1. Nếu a+b+c=0
    =>b+c=-a
    =>(b+c)^3=(-a)^3
    =>b^3+3b^2c+3bc^2+c^3=-a^3
    =>a^3+b^3+c^3+3bc(b+c)=0
    =>a^3+b^3+c^3+3bc.(-a)=0 (vì b+c=-a)
    =>a^3+b^3+c^3=3abc
    Vậy nếu a+b+c=0 thì a^3+b^3+c^3=3abc (đpcm)

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