Miraj’s Numo: Generalized Algebraic Identity for the Sum and Difference of Powers

This paper introduces Miraj’s Numo, a generalized identity that expresses the sum and difference of two nth powers as a difference of squares. This identity applies to all real numbers a, b and integers n, extending the range of known algebraic identities. The derivation includes detailed steps, examples, and applications that highlight the versatility of Miraj’s Numo.