SOLUTION: Suppose x,y,z >0. Prove that {{{x^3 + y^3 >= xyz(x/z + y/z)}}}

Algebra.Com
Question 1184377: Suppose x,y,z >0. Prove that
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!


If you prefer, you can reverse the 
steps and omit the "if and only If"'s.

Edwin

RELATED QUESTIONS

If x>0,y>0,z>0 and x+y+z=1,prove that {{{x/2-x + y/2-y +... (answered by darq)
Solve xyz=x + y + z for... (answered by stanbon)
Solve the determinant: x^2 y^2 z^2 x^3 y^3 z^3 xyz xyz... (answered by Alan3354)
x+y+z=23 xyz=396 x=? y=?... (answered by Fombitz)
x+y-z=1 x+2z=3 y-z=0 (answered by Alan3354)
x+y-z=1 x+2z=3 y-z=0 (answered by Alan3354)
(x+y+z)^3 (answered by lenny460)
Let T(x,y,z) = (y,z,0). Prove that T^3 must be a zero transformation... (answered by user_dude2008)
x+y+z =0 then find the value of (x+y)(y+z)(x+z)/xyz... (answered by math_helper)