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prove that |{:((a-x)^(2),,(a-y)^(2),,(a-...

prove that `|{:((a-x)^(2),,(a-y)^(2),,(a-z)^(2)),((b-x)^(2),,(b-y)^(2),,(b-z)^(2)),((c-x)^(2),,(c-y)^(2),,(c-z)^(2)):}|`
`|{:((1+ax)^(2),,(1+bx)^(2),,(1+cx)^(2)),((1+ay)^(2),,(1+by)^(2),,(1+cy)^(2)),((1+az)^(2),,(1+bx)^(2),,(1+cz)^(2)):}|`
`=2 (b-c)(c-a)(a-b)xx (y-z) (z-x)(x-y)`

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