# Prove the following inequality

## Homework Statement

prove the following inequality:

## Homework Equations

$$\frac{a^4+b^4+c^4}{a^2b^2+a^2c^2+b^2c^2}\geq\frac{2u+3\lambda}{3(u+\lambda)}$$

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

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tiny-tim
Homework Helper
hi evagelos!

(try using the X2 tag just above the Reply box )

hint: subtract a constant from the lhs

Sorry tiny-tim i don't get what you mean .What constant must i subtract from the l.h.s.

tiny-tim
Homework Helper
that's for you to find out!

you cannot subtract a constant, only, from the left hand side because then you change the inequality

tiny-tim