1+a/(a-b)(a-c) +1+b/(b-c)(b-a) +1+c/(c-a)(c-b)

1+a/(a-b)(a-c) +1+b/(b-c)(b-a) +1+c/(c-a)(c-b)

(1+a)/(a-b)(a-c) +(1+b)/(b-c)(b-a) +(1+c)/(c-a)(c-b)
=(1+a)/(a-b)(a-c) -(1+b)/(b-c)(a-b) +(1+c)/(a-c)(b-c)
=[(1 + a) (B-C) - (1 + b) (A-C) + (1 + C) (a-b)] / [(a-b) (B-C) (A-C)] (general score)
=[b-c+ab-ac-a+c-ab+bc+a-b+ac-bc]/[(a-b)(b-c)(a-c)]
=0