0:00
All right.
00:02
Simplify this rational expression.
00:06
We also have this domain because if we think about this part right here, well, 9 minus x squared, square rooted, that's the sport of 9 minus x squared.
00:22
Well, if x is anything greater than 3, then that means that this is then going to be a negative number.
00:30
We don't want that.
00:31
So that's what that's about.
00:34
But simplifying this, let's go ahead and do this.
00:39
Now, there might be other ways to do this one, but this is the way that i would do it.
00:44
I'm going to separate my single fraction into two split by this plus sign.
00:52
So 9 minus x squared, 1 half over 9 minus x squared plus x squared plus x squared, plus x squared, 9x squared, minus x squared negative one half over nine minus x squared now i did that because i really i'm not sure how this would be affected by this if it goes down into the denominator so to be really safe i'm going to do it when it's separated by the plus so negative exponent turns positive when it goes down below so i'm going to have an x squared divided by the plus so i'm going to have an x squared divided by 9 minus x squared.
01:40
Now if i already have one of them here, and i'm adding another half, then that'll be, i actually want that one here...