1. MATH 2160
Pascal’s Triangle

2. Pascal’s Triangle Expanding a binomial expression: (a + b)0 = 1
(a + b)1 = a + b
(a + b)2 = a2 + 2ab + b2
(a + b)3 = a3 + 3a2b + 3ab2 + b3
(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4

3. Pascal’s Triangle Vocabulary
Coefficient – the number in front of the variable(s) for a particular term
a3 + 3a2b + 3ab2 + b3
Variable(s) – the letters and their exponents for a particular term
Term – the coefficient AND the variable(s)
a3 + 3a2b + 3ab2 + b3 there are 4 terms here separated by 3 plus signs

4. Pascal’s Triangle 1
1 1
1 2 1

5. Pascal’s Triangle Magic 11’s 110 1 111 1 1 112 1 2 1 113 1 3 3 1
Fails to work after this…