1. 9.2
The Binomial Theorem

2. What you’ll learn about
Powers of Binomials
Pascal’s Triangle
The Binomial Theorem
Factorial Identities
… and why
The Binomial Theorem is a marvelous study in
combinatorial patterns.

3. Powers of Binomials
If you expand (a + b)n for n = 0, 1, 2, 3, 4, and 5, here is what you get:

4. Binomial Coefficient

5. Example Using nCr to Expand a Binomial

6. Example Using nCr to Expand a Binomial

7. Pascal’s Triangle

8. Recursion Formula for Pascal’s Triangle

9. The Binomial Theorem

10. Example Expanding a Binomial-

11. Example Expanding a Binomial- z3

12. Example Expanding a Binomial- z3 -

13. Basic Factorial Identities

14. Quick Review

15. Quick Review Solutions