How do you write the partial fraction decomposition of the rational expression $(x+4)/[(x+1)^2 + 4]$ ?

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Answer 1 · 2017-02-15T07:30:38

See explanation below

$(x+4)/((x+1)^2+4)=(x+4)/(x^2+2x+1+4)$

$=(x+4)/(x^2+2x+5)$

This cannot be decomposed into partial fractions as it is already in irreducible form.

How do you write the partial fraction decomposition of the rational expression (x+4)/[(x+1)^2 + 4] (x+4)/[(x+1)^2 + 4]?