A 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. The difference of two natural numbers having equal natural powers necessarily has a representation according to the formula of an incomplete binomial. It is proved that the cube of a natural number cannot be represented as an
incomplete binomial, which means a simple proof of FLT for n = 3 is obtained.