Binomial Expansion

 

 

Contents

 

Binomial Expansions

 

Factorials

 

Combination Symbol

 

Binomial Theorem

1  2  3 

Binomial Series

 

Algebra Main Page

 Binomial Theorem
for positive integral index
 
 
Determine the middle terms of the binomial expansion of 
. Hence find the coefficient of x10 in the expansion of
 
Solution:
 
The expansion
  has 10 terms. Hence the middle terms are the 5th and 6th term.
 
5th term 
              
6th term
          
 
                    
 
coefficient is .
 
Find the term independent of x in the binomial expansion of
. Leave your answer in standard form approximated to 3 significant figures.
 
Solution:
 
General term
                 
 
Term independent of x,
               18 - 3r = 0  ---> r = 6
 
Term 
= 6.31 X 1011