erweitern
to expand
To make something larger in size, area, or extent.
Die Firma plant, ihre Produktionshalle zu erweitern.
The company plans to expand its production hall.

to expand
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to expand
To make something larger in size, area, or extent.
Die Firma plant, ihre Produktionshalle zu erweitern.
The company plans to expand its production hall.

The verb 'erweitern' (to expand) is derived from the adjective 'weit' (wide / far). The prefix 'er-' and the ending '-n' turn it into a verb that describes the process of making something 'weit' or 'weiter' (wider / further).
Die Stadt will das Netz der Fahrradwege erweitern.
The city wants to expand the network of bike paths.
The prefix 'er-' is inseparable. It remains directly attached to the verb stem in all sentence forms and tenses.
Er hat seine Sprachkenntnisse im Ausland erweitert.
He expanded his language skills abroad.
The object of the verb indicates the meaning. Concrete objects like 'Haus' (house) or 'Garten' (garden) mean an increase in area. Abstract objects like 'Wissen' (knowledge) or 'Angebot' (offerings) mean an expansion in content.
Wir müssen das Wohnzimmer um einen Anbau erweitern.
We need to expand the living room with an extension.
In a figurative sense, 'erweitern' (to expand) is very often used with abstract nouns such as 'Wissen' (knowledge), 'Kenntnisse' (skills / knowledge), 'Fähigkeiten' (abilities), or 'Horizont' (horizon).
Durch Reisen kann man seinen Horizont erweitern.
Traveling can expand your horizons.
to add / supplement
'erweitern' and 'ergänzen' both mean that something is added. The difference lies in the goal. With 'erweitern', you make something larger or more extensive, for example a range of services, knowledge, or a plan. With 'ergänzen', you add something that is missing or that makes information more complete. Learners may confuse the words because in both cases something is added. If the whole thing is meant to become larger, 'erweitern' fits. If something is not yet complete or an additional comment is being added, 'ergänzen' fits better.

Zu Hause erweitert Lisa ihre Präsentation um zwei neue Beispiele.
At home, Lisa expands her presentation by adding two new examples.
Herr Wagner ergänzt nach dem Gespräch noch eine wichtige Information.
After the conversation, Mr. Wagner adds one more important piece of information.