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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 \((a^2 + b^2)(c^2 + d^2)(e^2 + f^2) \ge (ace + bdf)^2.\)

 

I believe Cauchy-Schwarz could be helpful, but am confused. Please help!

 Oct 11, 2021
 #1
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It's easy if you use Cauchy-Schwarz.

 Oct 11, 2021

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