00:01
This is common we need to find the least common denominator.
00:03
Before we do that, we are going to need to factor the denominators to find the common factors and the uncommon factors.
00:09
So the factor x squared plus 5x plus 6, i'm going to do guessing check or trial and error because it's a simple problem.
00:16
So what multiplies to 6 that adds to 5? well, that would be the numbers 2 and 3.
00:21
So this would be x plus 2 and then x plus 3.
00:24
On the right hand side, same idea.
00:27
We're going to get to factor that out.
00:28
So it multiplies to negative 8 that adds to negative 2.
00:31
That would be x minus 4 and x minus 2.
00:36
So now i'm going to focus on these two factors versus the x4 plus 5x plus 6.
00:42
Let's first start by finding the least common denominator.
00:45
We find that by identifying the common factors.
00:48
Looking at these, this one should say an x plus 2, looking between the two of these, that we see that they both have an x plus 2.
00:56
That's going to be the first part of our least common denominator...