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2014-08-29
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1/ab+a+1 + 1/bc+b+1 + 1/ac+c+1 =abc/(ab+a+abc)+ 1/(bc+b+1) + 1/(ac+c+1) =bc/(bc+b+1)+ 1/(bc+b+1) + 1/(ac+c+1) =(bc+1)/(bc+b+1)+ 1/(ac+c+1) =(bc+1)/(bc+b+abc)+ 1/(ac+c+1) =(bc+1)/[b(c+1+ac)]+ b/[b(ac+c+1)] =(bc+1+b)/[b(c+1+ac)] =(bc+abc+b)/(bc+b+abc) =1
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