Hermite's identity
Encyclopedia
In mathematics, the Hermite's identity states that for every real number
Real number
In mathematics, a real number is a value that represents a quantity along a continuum, such as -5 , 4/3 , 8.6 , √2 and π...

 x and positive integer
Integer
The integers are formed by the natural numbers together with the negatives of the non-zero natural numbers .They are known as Positive and Negative Integers respectively...

n the following holds:

Proof

Write . There is exactly one with


Now
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x
OK