If a+b+c=0 then prove that 1/(2a²+bc)+1/(2b²+ac)+1/(2c²+ab)=1

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If a+b+c=0, then prove that a^2/(2a²+bc) + b²/(2b²+ac) + c²/(2c²+ab) =1. If a+b+c=0, then prove that a^2/(2a²+bc) + b²/(2b²+ac) + c²/(2c²+ab) =1.
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