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Mathematics
Mathematics
Problem
For
a
,
b
,
c
>
0
a, b, c > 0
a
,
b
,
c
>
0
prove that
a
4
+
b
4
+
c
4
≥
a
2
b
c
+
b
2
c
a
+
c
2
a
b
a^4 + b^4 + c^4 \ge a^2bc + b^2ca + c^2ab
a
4
+
b
4
+
c
4
≥
a
2
b
c
+
b
2
c
a
+
c
2
ab
.
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