00:01
Okay, so suppose i'm dividing these rational expressions written like this.
00:06
Okay, so really what i'm seeing is i'm dividing two terms, right? how do i divide fractions? well, this is known as keep, change, flip.
00:16
Keep the first fraction, change division to times and flip the second fraction.
00:21
So when i do this, this is going to look like so.
00:28
Times flip this, so flip the numerator and denominator x squared minus two x minus three over x minus four.
00:35
Now, how do i simplify this? i'm probably not gonna wanna distribute or multiply all these different terms.
00:42
But what i can do is i can factor some of them.
00:45
So for example, x squared minus two x minus three.
00:49
Since the leading term is one, i could easily think about how to factor this.
00:53
Okay, what multiplies to negative three adds to negative two.
00:58
Well, that'll be negative three and negative one.
01:01
So this is just x minus three times x minus one.
01:05
What about here? leading term is one, so i could think, okay, what multiplies to three adds to four is how it's gonna factor...