If a+b+c=0, then prove that 2(a⁴+b⁴+c⁴)=(a²+b²+c²)²

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Why (a + b)² = a² + b² + 2ab — A Geometric Proof Why (a + b)² = a² + b² + 2ab — A Geometric Proof
If a + b + c = 0 and a2 + b2 + c2 = 1 then the value of a4 + b4 + c4 is.... If a + b + c = 0 and a2 + b2 + c2 = 1 then the value of a4 + b4 + c4 is....
proof// (a-b)^2= a^2-2ab+b^2 // proof// (a-b)^2= a^2-2ab+b^2 //