The binomial theorem is the expansion of a binomial to the nth term. It seems like you would have to multiply and multiply continuously, but there's always a shorter way! Well, at least there is one this time. For the binomial theorem, in order to find a certain term, you can use combinations, which include factorials. The equation for such combination is: nCr = n!/(n-r)!r! But, there's something much simpler in order to find a total equation. Which is using Pascal's Triangle. Pascal's Triangle is a triangle that distributes the coefficients for a binomial. But, it's not that simple, you must still multiply that term by others as well.
Here are some examples of Pascal's triangle.
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