2. Binomial Theorem; Pascal’s Triangle

3. Let’s fill out Pascal’s Triangle

4. Pascal’s Triangle
How do you figure out what the numbers are in each of the rows of Pascal’s Triangle?
If you want to find the numbers of the 6th row of Pascal’s Triangle what do you need to do?

5. You DON’T need the 5th row to find the 6th!!
You can actually find the row by looking at combinations!
6th row of Pascal’s Triangle!!!!!

6. This all relates to the expansion of Binomials!
Look back at the Warm-Up
Do you see any relationship between what you found and what we’ve been discussing so far today?

7. The Binomial Theorem
If n is a positive integer, then:

8. Example
Give the first four terms in the expansion of (x – 2y)10