Prove a 4 </msup> + b 4 </msup> &#x2265; a 3 </msup> b

Shea Stuart 2022-06-29 Answered
Prove a 4 + b 4 a 3 b + a b 3 for any ( a , b ) R
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Answers (1)

Kaylie Mcdonald
Answered 2022-06-30 Author has 19 answers
Alternatively using AM-GM inequality, we have
a + b 2 a b
or
( a + b ) 2 4 a b a b
so that
( a + b ) 2 a b = a 2 + b 2 + a b 0
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