prove that |(1/(a-a1)^2,1/(a-a1),1/a1),...

prove that `|(1/(a-a_1)^2,1/(a-a_1),1/a_1),(1/(a-a_2)^2,1/(a-a_2),1/a_2),(1/(a-a_3)^2,1/(a-a_3),1/a_3)|=(-a^2(a_1-a_2)(a_2-a_3)(a_3-a_1))/(a_1a_2a_3(a-a_1)^2(a-a_2)^2(a-a_3)^2)`.

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The correct Answer is:

`-a^(2)(a_(1)-a_(2))(a_(2)-a_(3))(a_(3)-a_(1))`

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