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Mathematics
Mathematics
Problem
If sum of maximum and minimum value of
y
=
log
2
(
x
4
+
x
2
+
1
)
−
log
2
(
x
4
+
x
3
+
2
x
2
+
x
+
1
)
y = \log_2(x^4 + x^2 + 1) - \log_2(x^4 + x^3 + 2x^2 + x + 1)
y
=
lo
g
2
(
x
4
+
x
2
+
1
)
−
lo
g
2
(
x
4
+
x
3
+
2
x
2
+
x
+
1
)
can be expressed in form
(
(
log
2
m
)
−
n
)
((\log_2 m) - n)
((
lo
g
2
m
)
−
n
)
, where
m
m
m
and
2
2
2
are coprime then compute
(
m
+
n
)
(m + n)
(
m
+
n
)
.
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