Prove that: 2a²+2b²+2c²-2ab-2bc-2ca = [ (a-b)²+(b-c)²+(c-a)² ]

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Q Prove that 2a^2+2b^2+2c^2-2ab-2bc-2ca=(a-b)^2+(b-c)^2+(c-a)^2 Q Prove that 2a^2+2b^2+2c^2-2ab-2bc-2ca=(a-b)^2+(b-c)^2+(c-a)^2
"Prove that: `2a^2+2b^2+2c^2-2a b-2b c-2c a=(a-b)^2+(b-c)^2+(c-a)^2`" "Prove that: `2a^2+2b^2+2c^2-2a b-2b c-2c a=(a-b)^2+(b-c)^2+(c-a)^2`"
Prove that : `2a^2+2b^2+2c^2-2ab-2bc-2ac= [(a-b)^2+(b-c)^2+(c-a)^2]` Prove that : `2a^2+2b^2+2c^2-2ab-2bc-2ac= [(a-b)^2+(b-c)^2+(c-a)^2]`
Prove of ( a+ b+ c )2 = a2+b2+c2+2ab+2bc+2ca Prove of ( a+ b+ c )2 = a2+b2+c2+2ab+2bc+2ca
Prove that (a+b+c)² =a² + b² + c² + 2ab + 2bc +2ca by samadhan education. Prove that (a+b+c)² =a² + b² + c² + 2ab + 2bc +2ca by samadhan education.
(a+b+c)2=a2+b2+c2+2ab+2bc+2ca (a+b+c)2=a2+b2+c2+2ab+2bc+2ca
Algebraic identity (a+b+c)²= a²+b²+c²+2ab+2bc+2ca with proof Algebraic identity (a+b+c)²= a²+b²+c²+2ab+2bc+2ca with proof
Prove that (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca Prove that (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca