Sender: Suraj Das
Is there a formula for the expansion of (a+b+c) to the nth power? Does it have to do with Pascal's triangle?
Student is asking.
Pascal's triangle is used to find the binomial coefficients that are needed for expanding the binomial (a + b)n. The binomial coefficient n choose k is usually written or sometimes nCk. where
In the binomial expansion of (a + b)n each term is a constant times akbn-k where the constant is n choose k. that is
(To see the first and last coefficients an binomial coefficients you need to use the conventions that 0! = 1 and x0 = 1.)
where p + q + r = n. For example