How do I decompose the rational expression #(-x^2+9x+9)/((x-5)(x^2+4))# into partial fractions?
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),
Hence, we have the partial fractions
I hope that this was helpful.