00:01
We can use the formula in black written to the left derived from the binomial theorem to find specific coefficients in a binomial.
00:10
If we have 3x plus 2 to the 8th and we want to find the sixth term of the binomial equation, we can use this formula.
00:20
First, we need to find these coefficients.
00:24
So we can see that x in this form equals 3x in our equation.
00:31
A in this formula equals 2 in our equation, and n in this formula equals 8.
00:39
To find j, we need to look at the binomial theorem, written in green.
00:43
We can see that each term contains x to the n minus v.
00:48
Looking at sigma, we can see that v initially equals 0, and will increase for every term.
00:57
So, for the first term, v equals 0...