MIRAJS CUBO: A COMPREHENSIVE EXPLORATION OF RELATION OF CUBIC IDENTITIES WITH SQUARE NUMBERS

In this paper, I will introduce Mirajs Cubo, which is a pioneering mathematical identity that presents an interestingly new look at the sum of cubes. We all know the conventional way to express the sum of cubes: a3 + b3 = (a+b) (a2 - ab + b2), which is a cornerstone of algebra, majorly used in polynomial factorization, equation solving, and mathematical proofs (Hardy & Wright, 1979). While this classical identity has been valuable in a lot of terms, its form has remained largelystatic, leaving room for alternative explorations. In this work, I reim