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Mathematics
Problem
Which partial-fraction decomposition of
3
x
+
5
(
x
−
1
)
(
x
+
2
)
\displaystyle \frac{3x+5}{(x-1)(x+2)}
(
x
−
1
)
(
x
+
2
)
3
x
+
5
is correct? a)
8
x
−
1
+
1
x
+
2
\dfrac{8}{x-1}+\dfrac{1}{x+2}
x
−
1
8
+
x
+
2
1
b)
8
3
(
x
+
2
)
+
1
3
(
x
−
1
)
\dfrac{8}{3(x+2)}+\dfrac{1}{3(x-1)}
3
(
x
+
2
)
8
+
3
(
x
−
1
)
1
c)
8
3
(
x
−
1
)
−
1
3
(
x
+
2
)
\dfrac{8}{3(x-1)}-\dfrac{1}{3(x+2)}
3
(
x
−
1
)
8
−
3
(
x
+
2
)
1
d)
8
3
(
x
−
1
)
+
1
3
(
x
+
2
)
\dfrac{8}{3(x-1)}+\dfrac{1}{3(x+2)}
3
(
x
−
1
)
8
+
3
(
x
+
2
)
1
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