Prove that |{:((1+ax)^(2),(1+ay)^(2),(a+...

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

`(a-b)(b-c)(c-a)`

`(x-y)(y-z)(z-x)(a-b)(b-c)(c-a)`

`(x-y)(y-z)(z-x)`

`2(a-b)(b-c)(c-a)(x-h)(y-z)(z-x)`

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

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