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Prove that |{:(" "3,a+b+c,a^2+b^2+c^2...

Prove that `|{:(" "3,a+b+c,a^2+b^2+c^2),(a+b+c,a^2+b^2+c^2,a^3+b^3+c^3),(a^2+b^2+c^2,a^3+b^3+c^3,a^4+b^4+c^4):}|=|{:(1,1,1),(a,b,c),(a^2,b^2,c^2):}|^2`

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