2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/101353We disclose the Lie algebraic structure of two extended Sutherland models. Their Hamiltonians are BC_N, and A_N Sutherland Hamiltonians with some additional terms. We show that both Hamiltonians can be written in the quadratic forms of generators of the Lie algebra gl(N+1).9 pages, added note and reference, corrected typosExactly Solvable and Integrable Systemstext