# How do you subtract #\frac{2x}{x^2+10x+25}-\frac{3x}{2x^2+7x-15}#?

##### 1 Answer

First, we're going to simplify the expressions a bit. We can do this by factoring both the denominators:

To substract two fractions with a different denominator, we will always have to find the LCM of the denominators. In this case it is

Let's combine what we've got already:

Now for changing to the LCM:

Distribute the terms:

You could've also done this without factoring, but it would've been way harder. Factoring always makes your life easier!

I really hope this helped.