Practice Page
Directions: Work carefully! Mistakes can happen easily with all of these calculations.
Binomial Theorem
(or Binomial Expansion Theorem)
bin5
The rth term of the expansion of (a + b)n is:bineach


1.
Using the binomial theorem, expand (x + y)6.
pastri

 

 

2.
Using the binomial theorem, expand (3 + 2y)5.


pastri6

 

 

3.
Using the binomial theorem, expand (3x - y2)4.


pastri5

 

 

4.
Find the third term of (x + 3y)9 using the binomial rth term formula.


pastri4

 

 

5.
Find the last term of (a - 2b)4 using the binomial rth term formula.

pastri3

 


divider

NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation
 and is not considered "fair use" for educators. Please read the "Terms of Use".