Chapter 8: The Binomial Expansion

Question 1

Give the first 3 coefficients for the binomial expansion of (a+b)^n:

Answer 1

a^n + (nC1)(a^(n-1))(b) + (nC2)(a^(n-2))(b²)

Question 2

How do you use binomial estimation to estimate a value?

Answer 2

You have to estimate a² and you have a binomial expansion of (b-x)². You know what the value of A and B are. Solve (b-x)= a. Substitute your new value of x into (b-x)² to get your estimated answer.