ABSTRACT
This chapter defines a binomial expression, uses Pascal's triangle to expand a binomial expression and states the general binomial expansion of (a+x)n and (1+x)n. It uses the binomial series to expand expressions of the form (a+x)n for positive, negative and fractional values of n, determines the r’th term of a binomial expansion and uses the binomial expansion with practical applications. A binomial expression is one that contains two terms connected by a plus or minus sign. The binomial series or binomial theorem is a formula for raising a binomial expression to any power without lengthy multiplication. Binomial expansions may be used for numerical approximations, for calculations with small variations and in probability theory. Determine the approximate percentage change in its volume and its curved surface area, (neglecting the products of small quantities).
