00:05
G of x is equal to x squared plus 2x, and we want to simplify the expression, g of x, subtract g of a, all divided by x minus a.
00:16
Well, g of x is x squared plus 2x.
00:27
So that's g of x, and now we are subtracting g of a.
00:31
So let's put g of a in parentheses.
00:34
We are subtracting g of a.
00:36
G of a will be a squared plus 2a.
00:40
So we are subtracting a squared plus 2a.
00:47
And this is all being divided by x minus a.
00:59
Well, this comes down to be x squared plus 2x minus a minus a squared minus a.
01:22
All divided by x minus a.
01:32
Now this looks like it's as far as you can take it.
01:38
But i'm looking at the top, and we're going to try to do a little factoring by grouping.
01:43
You should have learned that back in algebra.
01:47
Let's go ahead and factor an x out of these two terms.
01:51
So this can be rewritten as x times x plus two.
02:00
And then we are going to subtract a being factored out of these two terms.
02:11
We have to be careful with the subtraction, so we'll check our work.
02:15
I believe this will be a plus 2...