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If a,b,c are positive numbers. Prove that ((1+a)(1+b)(1+c))^7 > 7^7 × a^4 × b^4 × c^4

Amritansh Arya , 5 Years ago
Grade 11
anser 1 Answers
Arun

Last Activity: 5 Years ago

Dear student
 
 
Repeated application of the AM-GM inequality can be used to prove the above strict inequality. The proof is illustrated below:
 
 
Regards
Arun (askIITians forum expert)

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