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Show that |(a,b,c),(b,c,a),(c,a,b)|^(2)=...

Show that `|(a,b,c),(b,c,a),(c,a,b)|^(2)= |(2bc-a^(2),c^(2),b^(2)),(c^(2),2ac-b^(2),a^(2)),(b^(2),a^(2),2ab-c^(2))|= (a^(3) + b^(3) + c^(3)- 3abc)^(2)`

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Show that |{:(a,b,c),(a^(2),b^(2),c^(2)),(a^(2),b^(3),c^(3)):}|=abc(a-b)(b-c)(c-a)

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|(0,c,b),(-c,0,a),(b,a,0)|-|(b^(2)+c^(2),ab,ac),(ab,c^(2)+a^(2),bc),(ac,bc,a^(2)+b^(2))|=