Beef soup usually refers to a bowl of beef broth with chunks of beef in it but without noodles, as oppose to beef soup noodles.
Beef noodle soup is often made of stewed beef, beef broth, vegetables and Chinese noodles It exists in various forms throughout East Asia and Southeast Asia. Red braised beef noodles are the most common type of beef noodle in Taiwan. The beef is often stewed with the broth and simmered, sometimes can be over 24 hours with bone marrow. Beef noodle soup is considered a national dish in Taiwan and every year the Taipei holds an annual Beef Noodle Festival, where various chefs and restaurants compete to for the “best beef noodle" title.