# How do you write the partial fraction decomposition of the rational expression # (x+10)/(x^2+2x-8)#?

##### 1 Answer

The equivalent partial fraction is :

#### Explanation:

Given

**Step 1**: Factor the denominator

**Step 2**: Set up the partial faction as follows:

**Step 3**: Multiply both sides by the LCD,

**Step 4**: Set up a system like this

**Step 5**. You can solve the system by the elimination method:

#+ -2A + 4B= 10 #

# 6B = 12 => B= 2#

Solve for

**Step 6**. Substitute