The Binomial Theorem

Questions: Put (x+y)2 in standard form

Put (x+y)3 in standard form

Put (x+y)4 in standard form

Pascal’s Triangle is a triangle of numbers, each new number

being the sum of the two above it. Each Row of Pascal’s triangle contains

coefficients for the expansion of (a+b)n

Let’s look at Pascal’s Triangle http://www.shodor.org/interactivate

/activities/pascal1/

Now

\

Use Pascal’s Triangle to expand (a+b)6

Use Pascal’s triangle to get the coefficients.

Then with the exponents a will decrease as b will increase.

Use Pascal Triangle to expand: (x-2)3

Review of Combinations

Another way to expand in called the Binomial

Theorem

Let’s look at (a+b)4

(x-2)5

Homework

P294

2,6,16,20,22