Binomial+Theorem

= BINOMIAL THEOREM = = I. Evaluate = = II. Use the Binomial Theorem = = III. Expand expressions using the Binomial Theorem =

Properties of the Binomial Expansion (//a// + //b//)//n//
= [] = = [] = = IV. Use the Binomial Theorem to find the indicated coefficient or term. = = V. Use Pascal's Triangle ﻿ = = media type="youtube" key="Zo2JrPjijHc" height="329" width="342" =
 * There are //n// + 1 terms.
 * The first term is //an// and the final term is //bn//.
 * Progressing from the first term to the last, the exponent of //a// decreases by 1 from term to term while the exponent of //b// increases by 1. In addition, the sum of the exponents of //a// and //b// in each term is //n//.
 * If the coefficient of each term is multiplied by the exponent of //a// in that term, and the product is divided by the number of that term, we obtain the coefficient of the next term.