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Write the value of the determinant `|a1b+c b1c+a c1a+b|` .

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Given,=`[[a,1,b+c],[b,1,c+a],[c,1,a+b]]`
=`[[a+b+c,1,b+c],[a+b+c,1,c+a],[a+b+c,1,a+b]]`
applying `c_1->c_1+c_3`
=`a+b+c[[1,1,b+c],[1,1,c+a],[1,1,a+b]]`
=`(a+b+c) xx0`
=`0`
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