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max of a^3b + b^3a if a,b>=0, a+b=3 Puerto Rico TST 2019.3
max of a^3b + b^3a if a,b>=0, a+b=3 Puerto Rico TST 2019.3
Source:
September 16, 2021
algebra
inequalities
Problem Statement
Find the largest value that the expression can take
a
3
b
+
b
3
a
a^3b + b^3a
a
3
b
+
b
3
a
where
a
,
b
a, b
a
,
b
are non-negative real numbers, with
a
+
b
=
3
a + b = 3
a
+
b
=
3
.
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