The value of the determinant |(b^(2)c^(2...

The value of the determinant `|(b^(2)c^(2),bc,b+c),(c^(2)a^(2),ca,c+a),(a^(2)b^(2),ab,a+b)|` is -

`abc(a^(2)+b^(2)+c^(2))`

`abc(bc+ca+ab)`

`(a+b+c)(a^(2)+b^(2)+c^(2))(ab+bc+ca)`

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