00:01
Looking at all the rational expressions in this complex fraction, we can see that our lcd is going to be p squared.
00:09
So we need to multiply this complex fraction by p squared over p squared.
00:18
So that means our numerator is going to be p squared minus p cubed plus 2p.
00:28
And our denominator is going to be 6 plus p minus p squared.
00:40
Okay, so now we can factor this.
00:43
So what we're going to do is from the top, let's factor out negative p.
00:50
And that is just so that the leading term can have a positive coefficient.
00:56
So if we factor out negative p and we write this in descending order, that's going to give us p squared minus p minus two.
01:09
And then our denominator, let's factor out a negative 1 so that we can write it in descending order where the leading coefficient is positive.
01:19
So if we factor out a negative 1, then that's going to be positive p squared minus p minus p minus six...