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Mathematics
Mathematics
Problem
Suppose
2
x
2
+
3
x
−
1
(
x
2
+
2
x
+
2
)
2
=
A
x
+
B
x
2
+
2
x
+
2
+
C
x
+
D
(
x
2
+
2
x
+
2
)
2
.
\frac{2x^{2}+3x-1}{(x^{2}+2x+2)^{2}}=\frac{Ax+B}{x^{2}+2x+2}+\frac{Cx+D}{(x^{2}+2x+2)^{2}}.
(
x
2
+
2
x
+
2
)
2
2
x
2
+
3
x
−
1
=
x
2
+
2
x
+
2
A
x
+
B
+
(
x
2
+
2
x
+
2
)
2
C
x
+
D
.
Determine the value of
D
D
D
. a)
3
3
3
b)
−
5
-5
−
5
c)
−
1
-1
−
1
d)
−
3
-3
−
3
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