If a,b,c are positive real numbers such that a+b-c/c=a-b+c/b=-a+b+c/a,find the value of (a+b)(b+c)(c+a)/abc
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solve eq 1 & 2 to get b=c;
solve eq 2 &3 to get a=b;
solve eq 1 & 3 to get a=c;
substitute in the final eq'n (a+b)(b+c)(c+a)/abc, to get 8a^3/a^3 which gives 8 as answer
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