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Mathematics
Mathematics
Problem
Express
x
3
−
4
(
x
−
1
)
2
\dfrac{x^3-4}{(x-1)^2}
(
x
−
1
)
2
x
3
−
4
as
x
+
2
+
A
x
−
1
+
B
(
x
−
1
)
2
x+2+\dfrac{A}{x-1}+\dfrac{B}{(x-1)^2}
x
+
2
+
x
−
1
A
+
(
x
−
1
)
2
B
. The value of
B
B
B
is a)
3
3
3
b)
1
1
1
c)
−
3
-3
−
3
d)
−
6
-6
−
6
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