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If a,b, c are the roots of x^3-x^2-1=0. Then what will be the value of Σ ((1+a) /(1-a))?
I understand.
So, Σ ((1+a)/(1-a)) = (1+a)/(1-a) + (1+b)/(1-b) + (1+c)/(1-c)
= [(1+a)(1-b)(1-c) + (1+b)(1-a)(1-c) + (1+c)(1-a)(1-b)]/(1-a)(1-b)(1-c)
= (1 - ab - ac - bc + abc + a + b + c)/(1-a)(1-b)(1-c)
= (1 - ab - ac - bc + abc)/(1-a)(1-b)(1-c) + (a + b + c)/(1-a)(1-b)(1-c)