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Mathematics
Problem
Find the constants
A
A
A
and
B
B
B
so that
4
x
+
1
(
x
−
2
)
(
x
+
1
)
=
A
x
−
2
+
B
x
+
1
.
\frac{4x+1}{(x-2)(x+1)}=\frac{A}{x-2}+\frac{B}{x+1}.
(
x
−
2
)
(
x
+
1
)
4
x
+
1
=
x
−
2
A
+
x
+
1
B
.
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