The number of partial fractiones of 5x2+9x2+15 is

5x2+9(x2+1)5x2+1=y ⇒ x2=y-15(y-1)+9y5=5y+4y5No. of partial fractions 2

The number of partial fractiones of 5x2+9x2+15 is

5x2+9(x2+1)5x2+1=y ⇒ x2=y-15(y-1)+9y5=5y+4y5No. of partial fractions 2

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The number of partial fractiones of $\frac{5 x^{2} + 9}{{(x^{2} + 1)}^{5}}$ is

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Detailed Solution

$\begin{array}{rcl} \frac{5 x^{2} + 9}{{(x^{2} + 1)}^{5}} \\ x^{2} + 1 & = & y \Rightarrow x^{2} = y - 1 \\ \frac{5 (y - 1) + 9}{y^{5}} & = & \frac{5 y + 4}{y^{5}} \end{array}$

No. of partial fractions 2

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