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If 2S=a+b+c, prove that |{:(a^(2),(S-a...

If `2S=a+b+c`, prove that
`|{:(a^(2),(S-a)^(2),(S-a)^(2)),((S-b)^(2),b^(2),(S-b)^(2)),((S-c)^(2),(S-c)^(2),c^(2)):}|=2S^(3)(S-a)(S-b)(S-c)`.

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