If (a+b+c) (a-b)^2+(b-c)^2+(c-a)^2 =k (a^3+b^3+c^3-3 a b c ), the… - Vidyadip

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If $(a+b+c)\left\{(a-b)^2+(b-c)^2+(c-a)^2\right\}=k\left(a^3+b^3+c^3-3 a b c\right)$, then $k=$ _______________ .

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