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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 have solved part (a), but I need help for (b) I used cauchy for (a) and I think you have to use it for (b)

 Oct 19, 2021
edited by helpp  Oct 19, 2021
 #1
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These are easy if you use Cauchy-Schwarz.

 Oct 19, 2021
 #2
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pls ellaborate 

Guest Oct 19, 2021
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yeah

helpp  Oct 19, 2021

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