- #1

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- 45

## Homework Statement

## Homework Equations

## The Attempt at a Solution

i just straight up applied am gm

##\frac {x}{y+z} + \frac{y}{x+z} + \frac{z}{x+y} \geq 3(\sqrt[3]{\frac{1}{(y+z)(x+z)(x+y)}})

##

so the denominator is which i had to maximise

##

x^2(y+z) + y^2(x+z) +z^2(x + y) + 2\\

\frac{y+z}{y^2z^2} + \frac{x+z}{x^2 z^2 } + \frac{x+ y}{x^2 y^2}

##

i am hoping to maximise this expression i was thinking maybe cauchy inequality might help

am i on the right track please help me thanks !