3x + 7 Resolve (x + 3) (x2 +1) into partial fractions.
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Answer:
Let
x
2
−3x+2
3x+7
=
(x−2)
A
+
(x−1)
B
⇒3x+7=A(x−1)+B(x−2)
On comparing coefficients 3=A+B,7=−A−2B⇒A=13,B=−10
Thus
x
2
−3x+2
3x+7
=
(x−2)
13
−
(x−1)
10
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