00:01
Okay, so let's go about solving this problem.
00:03
We have an expression, which is 2 over x squared plus 4x plus 4 plus 1 over x plus 2.
00:17
So here we want to add two rationales, but we don't have a common denominator.
00:20
So let's go about solving this and let's try to get that common denominator.
00:25
To start off, let's just factor out as much as we can, so it's a little easier to work with.
00:29
So starting with this denominator, let's factor that out.
00:32
We know we're going to have an x there.
00:34
We know we're going to have an x there because when we foil, that will give us this x squared up here.
00:39
Now let's look at the last term, we have a 4.
00:41
So let's think, what are the factors of 4 that add up to this middle term, which also happens to be 4? so it looks like the best option here is going to be 2.
00:50
Because if you add 2 and 2, you'll get the middle 4.
00:52
You multiple add 2 and 2, you get this outer 4.
00:55
And we're going to have addition signs here because we know we have to add the 2 to the other 2.
01:01
It's going to be plus 1 over x plus 2, nothing to factor there...