00:01
So in this problem, we are dividing with variables that have coefficients and x -1s.
00:11
And so we're going to use two rules here.
00:13
So our first rule basically states that if we have terms that are added or subtracted in the numerator and we divide by some value, well, we can split them up.
00:23
So we have x divided by z plus or minus y divided by z.
00:27
So let's do that.
00:28
Let's go ahead and split up our nuisance.
00:31
Numerator.
00:32
So we have 24n to the 8th over negative 6 n squared.
00:42
So this is subtracted with 12 and 12 to the 5th over negative 6 and so plus we have 30 n cubed over negative 6 squared.
01:07
So what we're going to do is we're going to work on the coefficients first.
01:10
So we have 24 divided by negative 6.
01:12
Well, that's negative 4.
01:14
Then we have n to the 8 divided by n squared.
01:17
And so remember that when we're dividing variables with exponents, well, we have, if we have x to the a divided by x to the b, we're left with x to the a minus b.
01:28
And so this is rule 2...