2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152866A classification of the ways in which an element of a free group can be expressed as a product of commutators or as a product of squares is given. This is then applied to some particular classes of elements. Finally, a question about expressing a commutator as a product of squares is addressed.AMS-LaTex, 11 pages, no figuresGroup Theorytext