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Let agt0, bgt0, cgt0 and a+b+c=6 then ((...

Let `agt0, bgt0, cgt0` and `a+b+c=6` then `((ab+1)^(2))/(b^(2))+((bc+1)^(2))/(c^(2))+((ca+1)^(2))/(a^(2))` may be

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Let a,b and c be such that a+b+c=0 and P=(a^(2))/(2a^(2)+bc)+(b^(2))/(2b^(2)+ca)+(c^(2))/(2c^(2)+ab) is defined.What is the value of P?[1]