Final answer:
US troops won the battles at Palo Alto and Resaca de la Palma during the Mexican-American War.
Step-by-step explanation:
In the battles at Palo Alto and Resaca de la Palma on May 8 and 9, US troops emerged victorious. These battles were part of the Mexican-American War which took place from 1846 to 1848. The US troops defeated the Mexican troops in both battles, furthering their campaign in the war.