Math Analysis Honors – Worksheet 55
The Binomial Theorem
Expand each expression using the Binomial Theorem
1) ( x + 1)
(
2) ( x − 2 )
5
5) x 2 + y 2
)
5
6)
(
3) ( x + 3)
6
x+ 2
)
7) ( 3x − 1)
3
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
7
8
9
4) ( 2x + 3)
5
4
4
8) ( ax − by )
4