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(x)quad |[1,a,a^(2)-bc],[1,b,b^(2)-ac],[...

(x)quad |[1,a,a^(2)-bc],[1,b,b^(2)-ac],[1,c,c^(2)-ab]|=0

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Prove that |[1,a,a^2-bc],[1,b,b^2-ca],[1,c,c^2-ab]|= 0

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|[(1)/(a),a^(2),bc],[(1)/(b),b^(2),ca],[(1)/(c),c^(2),ab]|=0