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Question: Binomial theorem in Maple

Question:Binomial theorem in Maple

Kitonum 21308 Maple
binomial-theorem
January 16 2019
2

I wonder if it is possible to automatically obtain the well-known  binomial theorem  for an arbitrary integer and a positive exponent  n  in Maple. The expansion  (1)  below  I want to get in Maple automatically. But all my attempts were unsuccessful:
 

> 

restart;
> 

(a+b)^n=Sum(binomial(n,k)*a^(n-k)*b^k, k=0..n);  # The binomial theorem

(a+b)^n = Sum(binomial(n, k)*a^(n-k)*b^k, k = 0 .. n)

 (1)
> 

expand((a+b)^n) assuming n::posint;
convert((a+b)^n, Sum) assuming n::posint;
convert((a+b)^n, polynom) assuming n::posint;
convert((a+b)^n, binomial) assuming n::posint;

 

(a+b)^n

  

(a+b)^n

  

(a+b)^n

  

(a+b)^n

 (2)
> 

 


 

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