to omit / leave out
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to omit / skip
To intentionally not do, not say, or not take something into account; to skip something.
Beim Vorlesen hat er aus Versehen eine ganze Zeile ausgelassen.
While reading aloud, he accidentally skipped an entire line.
'Auslassen' (to omit / leave out) is a separable verb. The prefix 'aus-' comes at the end in a main clause, while in a subordinate clause it remains attached to the verb.
Er lässt absichtlich ein wichtiges Detail aus.
He intentionally leaves out an important detail.
In the meaning 'überspringen' (to skip), 'auslassen' (to omit / leave out) is often used with parts of texts, speeches, or lists. Typical phrases are: 'eine Zeile auslassen' (to skip a line), 'ein Wort auslassen' (to omit a word), or 'ein Kapitel auslassen' (to skip a chapter).
Bitte lassen Sie bei der Umfrage keine Frage aus.
Please don't skip any questions in the survey.
The phrase 'seinen Ärger an jemandem auslassen' (to take one's anger out on someone) requires the preposition 'an' with the dative. The person who unfairly gets the anger directed at them is in the dative.
Lass deine schlechte Laune bitte nicht an mir aus!
Please don't take your bad mood out on me!
In the meaning 'lange über etwas reden' (to talk at length about something), the verb is reflexive and is used with the preposition 'über' and the accusative: 'sich über etwas auslassen' (to hold forth about something).
Mein Nachbar hat sich gestern eine Stunde lang über den Lärm ausgelassen.
My neighbor held forth for an hour yesterday about the noise.
The idiom 'keine Gelegenheit auslassen' (to miss no opportunity) is a fixed structure. It means that someone uses every opportunity to do a particular thing, often something that others perceive as repetitive or boastful.
Er lässt keine Gelegenheit aus, um mit seinem neuen Auto anzugeben.
He misses no opportunity to show off with his new car.
When it comes to cooking, 'auslassen' (to render) means melting fat. You can recognize this meaning from words like 'Speck' (bacon), 'Schmalz' (lard), or 'in der Pfanne' (in the pan).
Zuerst den Speck in der Pfanne bei niedriger Hitze langsam auslassen.
First, slowly render the bacon in the pan over low heat.
to forget
'vergessen' and 'auslassen' can both lead to something not being done, not being said, or not being mentioned. The important difference is intention. 'vergessen' means: you did not think of it. 'auslassen' usually means: you deliberately skip something or do not include it. That is why they can be confused when something is missing in a text or conversation. If it was a mistake due to inattention, 'vergessen' fits. If you leave it out on purpose, 'auslassen' fits.
In der Präsentation hat er den schwierigen Teil ausgelassen.
In the presentation, he left out the difficult part.
Die Klasse vergisst heute die Hausaufgaben im Klassenzimmer.
The class forgets the homework in the classroom today.