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National and Regional Contests
Nepal Contests
Nepal National Olympiad
2018 Nepal National Olympiad
2b
Nepal National Olympiad
Nepal National Olympiad
Source: Nepal Mathematics Olympiad
April 22, 2018
algebra
inequalities
Problem Statement
Problem Section #2 b) Find the maximal value of
(
x
3
+
1
)
(
y
3
+
1
)
(x^3+1)(y^3+1)
(
x
3
+
1
)
(
y
3
+
1
)
, where
x
,
y
ā
R
x,y \in \mathbb{R}
x
,
y
ā
R
,
x
+
y
=
1
x+y=1
x
+
y
=
1
.
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