If a+b+c=1, ab+bc+ca=-2 & abc=-3, then. find the value of 1/a+bc+1/b+ca+1/c+ab

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`|{:(1,a,bc),(1,b,ca),(1,c,ab):}|` `|{:(1,a,bc),(1,b,ca),(1,c,ab):}|`
Show without expanding at any stage that: ` | [1,bc, a(b+c)],[1,ca, b(c+a)],[1,ab, c(a+b)]|=0 ` Show without expanding at any stage that: ` | [1,bc, a(b+c)],[1,ca, b(c+a)],[1,ab, c(a+b)]|=0 `
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If a โ€“ (1/a) = b, b โ€“ (a/b) = c and c โ€“ (1/c) = a, then find the value of (1/ab) + (1/bc) + (1/ca)? If a โ€“ (1/a) = b, b โ€“ (a/b) = c and c โ€“ (1/c) = a, then find the value of (1/ab) + (1/bc) + (1/ca)?