+226 Let \(a,b,c,d,e,f \) be nonnegative real numbers.
(a) Prove that \((a^2 + b^2)^2 (c^4 + d^4)(e^4 + f^4) \ge (ace + bdf)^4.\)
(b) Prove that \((a^2 + b^2)(c^2 + d^2)(e^2 + f^2) \ge (ace + bdf)^2\)
+226 I haven't learned that yet, could you please help me with the problem?
+118670 I have not managed to prove it algebraically but here is a graphical demonstration where it certainly appears to be true.
https://www.desmos.com/calculator/djm2pyxgsh
this is part a)
