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Mathematics
Mathematics
Problem
Find
(
x
+
1
)
6
+
(
x
−
1
)
6
(x+1)^6 + (x-1)^6
(
x
+
1
)
6
+
(
x
−
1
)
6
. Hence or otherwise evaluate
(
2
+
1
)
6
+
(
2
−
1
)
6
(\sqrt{2}+1)^6 + (\sqrt{2}-1)^6
(
2
+
1
)
6
+
(
2
−
1
)
6
.
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