00:01
The first step, anytime we're given a partial fraction decomposition, is to factor it completely.
00:06
So i'm going to start with 6 over x squared minus 16 squared.
00:10
And that gives me 6 over, this is x minus 4 times x plus 4.
00:18
And that's all squared.
00:21
So that is 6 over x minus 4 squared times x plus 4 squared.
00:29
Now if i want to find the form, i have to work up to each of these.
00:35
So i'm going to note that they are linear.
00:38
If i had like a squared in one of these terms, then i would have to work up to it and put like an ax plus b type of thing.
00:44
But since these are all linear factors, i just have to work up to them linearly.
00:49
So i'm going to do a over x minus 4, and then i'm also going to do b over x minus 4 squared...