Prove that: 2a^2+2b^2+2c^2-2a b-2b c-2c ...

Prove that: `2a^2+2b^2+2c^2-2a b-2b c-2c a=[(a-b)^2+(b-c)^2+(c-a)^2]`

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`2a^2+2b^2+2c^2-2a b-2b c-2c a=(a^2-2ab+b^2)+(b^2-2bc+c^2)+(c^2-2ca+a^2)`
`=[(a-b)^2+(b-c)^2+(c-a)^2]`

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