
verrichten
to perform
To carry out or complete a specific job, activity, or task. The word is often used for routine or necessary actions.
Der Handwerker verrichtete seine Arbeit mit großer Sorgfalt.
The craftsman performed his work with great care.
to perform
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to perform
To carry out or complete a specific job, activity, or task. The word is often used for routine or necessary actions.
Der Handwerker verrichtete seine Arbeit mit großer Sorgfalt.
The craftsman performed his work with great care.

to relieve oneself
A euphemistic (softened) way of referring to going to the toilet, meaning to urinate or have a bowel movement.
Der Hund lief in den Garten, um sein Geschäft zu verrichten.
The dog ran into the garden to relieve himself.
'Verrichten' (to perform) is a formal and elevated alternative to 'machen' (to make/do) or 'tun' (to do) when talking about work or tasks. You find it more often in written language than in everyday conversation.
Die Bauarbeiter verrichten ihre schwere Arbeit auch bei schlechtem Wetter.
The construction workers perform their hard work even in bad weather.
This verb is often combined with nouns that describe a duty or a routine activity. Typical examples are 'seine Arbeit verrichten' (to perform one's work), 'einen Dienst verrichten' (to perform a service/duty), or 'ein Gebet verrichten' (to say a prayer).
Jeden Morgen verrichtet er die gleichen Aufgaben im Büro.
Every morning he performs the same tasks at the office.
The phrase 'sein Geschäft verrichten' (to relieve oneself) is a fixed expression and a euphemistic way of referring to going to the toilet. The possessive pronoun ('sein', 'ihr', etc.) agrees with the subject.
Wir mussten anhalten, damit der kleine Junge sein Geschäft verrichten konnte.
We had to stop so that the little boy could relieve himself.
to perform / afford
In the context of work or service, leisten focuses more on the contribution someone provides for others and is often used in fixed phrases such as „Hilfe leisten“. Verrichten focuses on carrying out a specific activity, often one that is necessary or performed regularly.

Im Krankenhaus verrichtet sie jeden Morgen die notwendigen Routinearbeiten.
At the hospital, she performs the necessary routine tasks every morning.
Im Krankenhaus leistet sie den verletzten Patienten wichtige Hilfe.
At the hospital, she provides important help to the injured patients.