00:01
Well, since they only asked for the first four terms, but our exponent is 20, i'm just sort of going to jump right into x to the one -half times plus 1 to the 20th power.
00:18
So in pascal's trying, i wouldn't do this because writing out 20 rows is very tricky.
00:24
But the binomial theorem is not too bad, where you have 20 combination 0.
00:31
And then you take x to the one -half power to the 20th and then times one to the zero power.
00:39
Well, one to any power is going to give me one, so you don't really have to worry about that.
00:43
So as i move on to the next term, so now i'm talking about the second term here, it's going to be 20 combination one.
00:52
It's x to the one -half is now to the 19th power, but again, one to the first is still going to give you one.
00:59
So i can sort of ignore that.
01:01
So then the third term is where it gets trickier.
01:05
Whoops, x to the one -half to the 18th.
01:08
And again, i'm going to ignore the one to the second power.
01:12
And then the fourth term is 20 combination 3...