2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65762We define generalized bivariate polynomials, from which upon specification of initial conditions the bivariate Fibonacci and Lucas polynomials are obtained. Using essentially a matrix approach we derive identities and inequalities that in most cases generalize known results.Added a new paragraph and corrected minor misprintsCombinatorics11B39text