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Mathematics
Problem
Which of the following is a correct partial-fraction decomposition of
7
x
−
1
x
(
x
+
3
)
\displaystyle \frac{7x-1}{x(x+3)}
x
(
x
+
3
)
7
x
−
1
? a)
1
3
x
+
20
3
(
x
+
3
)
\dfrac{1}{3x}+\dfrac{20}{3(x+3)}
3
x
1
+
3
(
x
+
3
)
20
b)
22
3
x
−
1
3
(
x
+
3
)
\dfrac{22}{3x}-\dfrac{1}{3(x+3)}
3
x
22
−
3
(
x
+
3
)
1
c)
−
1
3
x
+
22
3
(
x
+
3
)
-\dfrac{1}{3x}+\dfrac{22}{3(x+3)}
−
3
x
1
+
3
(
x
+
3
)
22
d)
7
x
−
1
x
+
3
\dfrac{7}{x}-\dfrac{1}{x+3}
x
7
−
x
+
3
1
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