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Mathematics
Mathematics
Problem
If
6
x
+
5
x
(
x
−
3
)
2
=
A
x
+
B
x
−
3
+
C
(
x
−
3
)
2
,
\frac{6x+5}{x(x-3)^2} = \frac{A}{x}+\frac{B}{x-3}+\frac{C}{(x-3)^2},
x
(
x
−
3
)
2
6
x
+
5
=
x
A
+
x
−
3
B
+
(
x
−
3
)
2
C
,
determine
A
,
B
A,\,B
A
,
B
and
C
C
C
.
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