Annex Texas refers to the process by which the Republic of Texas was incorporated into the United States as the 28th state in 1845. This significant event was driven by the desire for territorial expansion and the belief in Manifest Destiny, leading to increased tensions between the U.S. and Mexico, ultimately culminating in the Mexican-American War. The annexation sparked debate over the extension of slavery into new territories and had lasting impacts on U.S.-Mexico relations.