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Q.

The no. of partial fractions of $\frac{5 x^{2} + 9}{{(x^{2} + 1)}^{5}}$ is

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a

2

b

7

c

10

d

3

answer is C.

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Detailed Solution

$x^{2} + 1 = y \Rightarrow \frac{5 (y - 1) + 9}{y^{5}} = \frac{5}{y^{4}} + \frac{4}{y^{5}}$

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