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Mathematics
Mathematics
Problem
Determine the constants
A
A
A
,
B
B
B
and
C
C
C
such that
5
x
+
1
x
(
x
+
1
)
(
x
−
2
)
=
A
x
+
B
x
+
1
+
C
x
−
2
.
\frac{5x+1}{x(x+1)(x-2)}=\frac{A}{x}+\frac{B}{x+1}+\frac{C}{x-2}.
x
(
x
+
1
)
(
x
−
2
)
5
x
+
1
=
x
A
+
x
+
1
B
+
x
−
2
C
.
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