00:01
In order to simplify this rational expression, the first thing we need to do is factor.
00:07
So on the top, this trinomial will factor to be p plus 7 and p minus 3.
00:17
And then for the denominator, we have a difference of squares.
00:22
But before we do the difference of squares, i want to rearrange these terms so that my variable term comes first.
00:29
So i'm going to swap these.
00:30
It's going to be negative p squared plus 9.
00:36
And when we do that, we now need to factor out a negative 1.
00:40
That way, our leading coefficient will become a positive.
00:44
So this is going to turn into a positive p squared, and this will become a minus 9.
00:52
And now we're ready to use our difference of squares formula on p squared minus 9.
00:57
So we'll bring down the negative 1, and then the factors will be p plus 3, and p minus 3.
01:07
Now that we've done that, i'm just going to rewrite it so that it's a little bit more concise.
01:14
I'm rewriting it in factored form...