SOLUTION: Write the partial fraction decomposition of the rational expression 6x^3+6x^2 +28x+33/(x^2+5)^3

Question 935920: Write the partial fraction decomposition of the rational expression
6x^3+6x^2 +28x+33/(x^2+5)^3
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
removed solution because it was wrong;

You really might've mean to include several terms as the numerator, meaning

The work done on paper was very very lengthy. One would go with

Raising to higher terms, comparing corresponding parts after simplification would indicate values:

And you would want to see that whole process, but like said, very lengthy set of steps on paper, and so very likely to make type-written mistakes on attempt to put the solution process here.

You will be able to substitute the values to show

You lost one partial expression because of the A=0 and B=0.
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