Math Analysis Honors – Worksheet 56
The Binomial Theorem
Expand each expression using the Binomial Theorem
1) x  1
2) x  2 
5

5) x 2  y2
3) x  3
6

5
6)
4) 2x  3
5
 x  2
4
7) 3x  1
3
4
Use the Binomial Theorem to find the indicated coefficient or term.
9
The coefficient of x 6 in the expansion of x  3
10
The coefficient of x 3 in the expansion of x  3
11
The coefficient of x 7 in the expansion of 2x 1
12
The coefficient of x 2 in the expansion of 2x  3
13
The third term in the expansion of x  3
14
The sixth term in the expansion of 3x  2 
10
10
12
9
7
8
8) ax  by 
4