# How do you express #(5x - 4 ) / (x^2 -4x) # in partial fractions?

##### 1 Answer

#### Explanation:

The denominator can be written as

We can rewrite this as follows:

Put on a common denominator.

We can hence write the following system of equations.

Solving, we have that

We can now reinsert into the original equation to get our partial fraction decomposition.

Let's quickly check the validity of our answer.

**What is the sum of #4/(x - 4) + 1/x#?**

Put on a common denominator.

This verifies the initial expression, so we have done our decomposition properly.

Hopefully this helps!