00:03
We know in the binomial theorem we have three variables, a, b, and n.
00:08
And in this problem, a is equal to 2a, b is equal to b squared, and n is equal to 4.
00:18
So the easiest way i think to approach this is to first write out the binomial theorem with the n to the power of 4.
00:25
And so fortunately, i've already done that for us.
00:28
And so this will serve as a model that we can then substitute our values of a and b.
00:33
Into.
00:34
So you see we have the coefficients there for us that we will calculate as well as the variables.
00:44
So a and b with the corresponding increase and decrease of the exponent values.
00:51
And so now we can write in our coefficient values.
00:56
So when we do 4 choose 0, that comes out to be 1.
01:00
4 choose 1 is 4 .4 choose 2 is 6.
01:02
4 choose 2 is 6.
01:03
6, 4 choose 3 is 4, and 4 choose 4 is 1.
01:09
So we can rewrite this now substituting 2a and b squared...