Maeckes logo

<    1      2      3      4      5      6      7      8      9     10     11    >


Binomial theorem

The binomial theorem has a perfect symmetry, as (a + b)n = (b + a)n.

 


Explanation

The sum of the binomial theorem is

You can also write this as

That is allowed, because a + b ≡ b + a. This is seen in the binomial coefficients. Written in detail, you get

The series has a perfect symmetry, and you can read it from left to right and from right to left.

 


Deutsch   Español   Français   Nederlands   中文   Русский