
besiegen
to defeat
To be stronger and win in a fight, competition, or game.
Es gelang der Heimmannschaft, den Tabellenführer klar mit 3:0 zu besiegen.
The home team managed to clearly defeat the league leader 3-0.
to defeat
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to defeat
To be stronger and win in a fight, competition, or game.
Es gelang der Heimmannschaft, den Tabellenführer klar mit 3:0 zu besiegen.
The home team managed to clearly defeat the league leader 3-0.

to overcome
To successfully overcome a difficulty, an illness, or a negative feeling such as fear.
Nach langem Kampf konnte sie die schwere Krankheit besiegen.
After a long fight, she was able to overcome the serious illness.
“Besiegen” is an inseparable verb with the prefix “be-.” This prefix makes the verb transitive, so it always needs an accusative object (whom or what you defeat). The base verb “siegen” (to win/be victorious) is intransitive and is used without an object.
Die Mannschaft besiegte den Gegner im Finale.
The team defeated the opponent in the final.
How can you recognize the meaning? If the object is a person, a team, or an opponent, it is about a competition. If the object is a feeling, an illness, or a problem, “besiegen” means “to overcome.”
Die Heldin besiegt den Drachen in der Geschichte.
The heroine defeats the dragon in the story.
In a sports or combat context, “besiegen” is often used with the following nouns: “einen Gegner besiegen” (to defeat an opponent), “eine Mannschaft besiegen” (to defeat a team), or “einen Feind besiegen” (to defeat an enemy).
Unsere Schule hat die andere Schule im Fußballturnier besiegt.
Our school defeated the other school in the soccer tournament.
When it is about overcoming difficulties, typical combinations are: “die Angst besiegen” (to overcome fear), “eine Krankheit besiegen” (to overcome an illness), or “seine Zweifel besiegen” (to overcome one's doubts).
Mit viel Disziplin hat er seine schlechten Gewohnheiten besiegt.
With a lot of discipline, he overcame his bad habits.
to win / gain
When describing success against an opponent, both gewinnen and besiegen are possible, but their sentence structures differ. Gewinnen usually takes the competition or game as its object and mentions the opponent with gegen, while besiegen uses the opponent directly as its accusative object.

Unsere Mannschaft besiegte den Nachbarverein im entscheidenden Spiel.
Our team defeated the neighboring club in the decisive game.
Unsere Mannschaft gewann das Spiel gegen den Nachbarverein.
Our team won the game against the neighboring club.