
anbieten
to offer
To make something available to someone for purchase, use, or consumption.
Darf ich Ihnen ein Stück Kuchen anbieten?
May I offer you a piece of cake?
to offer
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to offer
To make something available to someone for purchase, use, or consumption.
Darf ich Ihnen ein Stück Kuchen anbieten?
May I offer you a piece of cake?

to offer oneself
To voluntarily make one's help or services available.
Mein Nachbar hat sich sofort angeboten, während unseres Urlaubs die Blumen zu gießen.
My neighbor immediately offered to water the flowers during our vacation.

to offer
To have a product or service in one's range and make it available for sale.
Dieser Supermarkt bietet viele regionale Produkte an.
This supermarket offers many regional products.

to suggest itself
To seem especially suitable, obvious, or convenient for a particular purpose.
Da das Wetter so gut war, bot sich ein Ausflug an den See geradezu an.
Since the weather was so good, a trip to the lake practically suggested itself.
'Anbieten' (to offer) is a separable verb. The prefix 'an-' goes at the end in main clauses, but remains attached to the verb in subordinate clauses. In the infinitive, 'zu' comes between 'an' and 'bieten'.
Er bietet seinen Gästen immer Wein an.
He always offers his guests wine.
This verb is very often used with two objects. The person receiving the offer is in the dative, and the thing being offered is in the accusative.
Mein Kollege hat mir seine Hilfe angeboten.
My colleague offered me his help.
When a person 'sich anbietet' (offers themself), it means that they voluntarily make their help available. It is often followed by an infinitive construction with 'zu' that describes the activity.
Ein freundlicher Herr bot sich an, meinen schweren Koffer zu tragen.
A friendly gentleman offered to carry my heavy suitcase.
When a situation or thing 'sich anbietet' (suggests itself), it means that it represents a good opportunity. The subject here is not a person actively helping, but the opportunity itself.
Da wir schon in der Stadt sind, bietet es sich an, auch gleich einzukaufen.
Since we're already in town, it makes sense to do the shopping right away too.
to lead
Führen and anbieten can both mean that a store has a product in its range. Führen mainly describes the product as a permanent part of the range, whereas anbieten places more emphasis on the specific opportunity to buy it. Use führen for the range, and anbieten when the product is currently available for purchase.

Unser Geschäft bietet diese Kaffeemarke heute mit einem Rabatt zum Kauf an.
Today, our store is offering this coffee brand for sale at a discount.
Unser Geschäft führt diese Kaffeemarke schon seit vielen Jahren.
Our store has carried this coffee brand for many years.