- #1

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## Homework Statement

prove the following inequality:

## Homework Equations

[tex]\frac{a^4+b^4+c^4}{a^2b^2+a^2c^2+b^2c^2}\geq\frac{2u+3\lambda}{3(u+\lambda)}[/tex]

for all the reals a,b,c different from zero and for all the natural u,λ

## The Attempt at a Solution

induction i think in this case will make things worst