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What is the manipulation used to transform $\sum_{cyc} \dfrac{a-bc}{a+bc}$...
I'm trying to prove the inequality shown in this post, but I'm confused on how OP concluded that, $$\dfrac{a-bc}{a+bc}+\dfrac{b-ac}{b+ac}+\dfrac{c-ab}{c+ab}\le \dfrac32$$Implies,...
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It’s a standard technique while proving inequalities, to substitute a fraction with a complementary one in a sense that the sum of these fractions is $1$.In this case $$\frac{a-bc}{a+bc}=...
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