Factorise : `|(1,a,bc),(1,b,ca),(1,c,ab)|`

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Find the value of : |(1,a, b+c),(1 , b, c+a),(1,c,a+b)|

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Without expanding show that : |(1,bc,bc(b+c)),(1,ca,ca(c+a)),(1,ab,ab(a+b))|=0

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