12.6 Binomial Theorem
Pascal's Triangle
Apply: If you had septuplets, how many possible groups of boys and girls have at least 3 boys ?
(x+y)3
Ex 1
Use Pascal's Triangle to expand each binomial
a) (x+y)8
b) (x-5y)7
Ex 2
How many of the possible groups of septuplets had at least 3 boys?
HW : p 804 (12­15)
Ex 3 Use the binomial theorem to expand
(x+y)4
(4x +2y)5
Quick check
Expand using binomial theorem (3x-y)5
Ex 4 Find the fourth term of (2x-3y)6