Submitted:
28 January 2026
Posted:
30 January 2026
You are already at the latest version
Abstract
A simple proof of Fermat’s Last Theorem (FLT) for the cube is obtained using the binomial expansion formula. It is shown that the difference between two natural numbers raised to the same natural power must be represented by an incomplete binomial formula. It is proven that the cube of a natural number cannot be represented as an incomplete binomial, which means a simple proof of FLT for n=3 has been obtained.
Keywords:
Fermat
; binomial
; binomial expansion
; simple proof
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