How did the United States defeat Mexico during the Mexican-American War?

The Mexican-American War Begins Taylor called in reinforcements, and–with the help of superior rifles and artillery–was able to defeat the Mexicans at the battles of Palo Alto and Resaca de la Palma.

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Under the Treaty of Guadalupe Hidalgo, which settled the Mexican-American War, the United States gained more than 500,000 square miles (1,300,000 square km) of land, expanding U.S. territory by about one-third. Mexico ceded nearly all the territory now included in the U.S. states of New Mexico, Utah, Nevada, Arizona, California, Texas, and western Colorado for $15 million and U.S. assumption of its citizens' claims against Mexico.

the first two years of american revolution was not very encouraging for the patriots since the british were far superior in sea power, arms and troops.