Observe two formulas: the square of a + B + C and the square of a + B + C + 2Ab + 2BC + 2ca,

(a+b+c)^2
=[(a+b)^2+2(a+b)c+c^2]
=a^2+2ab+b^2+2ac+2bc+c^2
=a^2+b^2+c^2+2ab+2ac+2bc

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