145 followers Problems #2

Algebra Level 5

What is the minimum value of (a3c2+a2b3+b2c3)(b3c+ac3+a3b)({ a }^{ 3 }{ c }^{ 2 }+{ a }^{ 2 }{ b }^{ 3 }+{ b }^{ 2 }{ c }^{ 3 })({ b }^{ 3 }c+a{ c }^{ 3 }+{ a }^{ 3 }b) if the value of a3b3c3=27{ a }^{ 3 }{ b }^{ 3 }{ c }^{ 3 }=27 and given that they all are positive real numbers.

You can find a similar question or rather a prequel to this problem 145 followers problem #1

If you want to help me and others in other questions which are from NMTC final level, you may want to look here too.

Cheers!

×

Problem Loading...

Note Loading...

Set Loading...