question_answer

The partial fractions of are \[\frac{{{x}^{4}}+24{{x}^{2}}28}{{{({{x}^{2}}+1)}^{3}}}\] are

A)  \[\frac{1}{({{x}^{2}}+1)}+\frac{22}{{{({{x}^{2}}+1)}^{2}}}+\frac{5}{{{({{x}^{2}}+1)}^{3}}}\]

B)  \[\frac{1}{({{x}^{2}}+1)}+\frac{22}{{{({{x}^{2}}+1)}^{2}}}-\frac{5}{{{({{x}^{2}}+1)}^{3}}}\]

C)  \[\frac{1}{({{x}^{2}}+1)}-\frac{22}{{{({{x}^{2}}+1)}^{2}}}-\frac{5}{{{({{x}^{2}}+1)}^{3}}}\]

D)  \[\frac{1}{({{x}^{2}}+1)}+\frac{22}{2\,\,{{({{x}^{2}}+1)}^{2}}}-\frac{3}{{{({{x}^{2}}+1)}^{3}}}\]

E)  None of these