# How do I decompose the rational expression #(-x^2+9x+9)/((x-5)(x^2+4))# into partial fractions?

##### 1 Answer

by finding the common denominator,

by multiplying out the numerator,

by collecting like terms,

by comparing the coefficients of the numerators,

by adding (Eq. 1) and (Eq. 2), and by multiplying by

by adding (Eq. 3) and (Eq. 4),

by plugging

by plugging

Hence, we have the partial fractions

I hope that this was helpful.