QuestionFind the partial fraction decomposition. $$\frac{-3 x^{3}+x^{2}}{\left(x^{2}+1\right)^{2}}$$

Studdy Solution
Substitute the values of $A$, $B$, $C$, and $D$ back into the partial fraction decomposition:
\[ \frac{-3x^3 + x^2}{(x^2 + 1)^2} = \frac{-3x + 1}{x^2 + 1} + \frac{3x - 1}{(x^2 + 1)^2} $
This is the partial fraction decomposition of the given expression.