# How do you write the partial fraction decomposition of the rational expression # (5x+7)/(x^2+4x-5)#?

##### 1 Answer

Dec 13, 2015

#### Explanation:

The denominator may be factorized as a trinomial as follows :

Since these are 2 different linear factors, we may write the original expression in terms of partial fractions as follows :

Now comparing terms in the numerator yields the following set of linear equations which may be solved simultaneously :

Solving we get :

Hence the partial fraction decomposition is