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If A(x1,y1), b(x2,y2) and C(x3,y3) are vertices of an equilateral triangle

If A(x1,y1), b(x2,y2) and C(x3,y3) are vertices of an equilateral triangle whose each side is equal to a, then prove that |x1 y1 2,x2 y2 2,x3 y3 2|^2 is equal to

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