Binomial Theorem


   
 
General Term for Positive Integral Index
For n N, we have
 
.
 
Let Tr+1 (0 r n) be the (r+1)th term in the expansion.
 
 
 
 
………………………………………
 
………………………………………
 
 
For 0 r n, we have Tr+1=nCran-rbr.
 
Example:
 
Find the general terms in the expansions of:
 
 
 
Suggested answer:
 
 
 
 
 
 
 
 
 
 
 
 
 
 
     
   
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