1. The binomial theorem. Pascal’s Triangle.
What you’ll learn
To expand a binomial using Pascal’s Triangle.
To use the binomial theorem.
Vocabulary
Expand, Pascal’s triangle,
binomial theorem.

2. Essential understanding:
Expand using the distributive property.
Row Power Expand form Coefficients only

3. And this is Pascal’s triangle: this is a
triangular array of number in which the
first and last number of each row is 1.
Example 1: Using the Pascal’s triangle.
What is the expansion of ?
The exponents for a begin with 6 and decrease to 0
The exponents for b begin with o and increase to 6

4. Binomial theorem: For every positive integer n,
Your turn: What is the expansion of (a + b)^8?
Answer

5. Your turn again
What is the expansion of (3x – 2)^5?
Use the binomial theorem.
Think

6. Classwork and homework
From the text book pages
Exercises 8 to 53