Simple Proof of Fermat’s Last Theorem for the Cube

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.