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Problems
Given
2
x
2
+
7
x
−
3
(
x
−
1
)
2
(
x
+
2
)
=
A
x
+
2
+
B
x
−
1
+
C
(
x
−
1
)
2
,
\frac{2x^{2}+7x-3}{(x-1)^{2}(x+2)}=\frac{A}{x+2}+\frac{B}{x-1}+\frac{C}{(x-1)^{2}},
(
x
−
1
)
2
(
x
+
2
)
2
x
2
+
7
x
−
3
=
x
+
2
A
+
x
−
1
B
+
(
x
−
1
)
2
C
,
…
Mathematics
Problem
Given
2
x
2
+
7
x
−
3
(
x
−
1
)
2
(
x
+
2
)
=
A
x
+
2
+
B
x
−
1
+
C
(
x
−
1
)
2
,
\frac{2x^{2}+7x-3}{(x-1)^{2}(x+2)}=\frac{A}{x+2}+\frac{B}{x-1}+\frac{C}{(x-1)^{2}},
(
x
−
1
)
2
(
x
+
2
)
2
x
2
+
7
x
−
3
=
x
+
2
A
+
x
−
1
B
+
(
x
−
1
)
2
C
,
find the values of
A
,
B
A,\,B
A
,
B
and
C
C
C
.
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