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Show that b 2 c 2 +c 2 a 2 +a 2 b 2 >abc(a+b+c) where a,b,c are different positive integers

Show that  b2c2+c2a2+a2b2>abc(a+b+c) where a,b,c are different positive integers 

Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
for a2 b2 and b2 c2,.  apply AM. > G.M.
 
hence 
a2 b2 + b2 c2 > 2* a b2 c
 
similarily you can get the other result and add them

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