rauswerfen
to kick out
To force a person to leave a place (e.g., an apartment, a bar, a workplace); to fire someone.
Der Chef hat ihn rausgeworfen, weil er ständig zu spät kam.
The boss kicked him out because he was constantly late.

to throw out / kick out
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to kick out
To force a person to leave a place (e.g., an apartment, a bar, a workplace); to fire someone.
Der Chef hat ihn rausgeworfen, weil er ständig zu spät kam.
The boss kicked him out because he was constantly late.

'Rauswerfen' (to throw out / kick out) is a separable verb. The prefix 'raus' comes at the end in a main clause. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Er wirft die alten Zeitungen raus.
He throws the old newspapers out.
The prefix 'raus-' is a colloquial short form of 'heraus-' (out). In more formal or written contexts, you would use 'herauswerfen' (to throw out / eject).
Der Türsteher hat den betrunkenen Gast sofort rausgeworfen.
The bouncer immediately kicked out the drunk guest.
You can recognize the meaning of 'rauswerfen' (to throw out / kick out) from the object: you throw out a person (e.g., from a bar), a thing (e.g., trash), money, or a product (e.g., an album).
Der Wirt musste die laute Gruppe rauswerfen.
The landlord had to kick out the loud group.
When a person is 'rausgeworfen' (kicked out), this often happens from a specific place. Typical phrases are to kick someone out 'aus der Wohnung' (of the apartment), 'aus der Firma' (of the company), or 'aus der Schule' (of school).
Nach dem Streit hat sie ihren Mitbewohner aus der Wohnung rausgeworfen.
After the argument, she kicked her roommate out of the apartment.
The expression 'Geld rauswerfen' (to throw money away) is fixed and means 'Geld verschwenden' (to waste money). It is often intensified with 'Geld zum Fenster rauswerfen' (to throw money out the window).
Hör auf, dein Geld für so unnütze Dinge rauszuwerfen!
Stop throwing your money away on such useless things!
to publish
'veröffentlichen' and 'rauswerfen' can both mean that, for example, music, videos, or products come onto the market. 'veröffentlichen' is neutral and fits almost all normal or official situations. 'rauswerfen' is colloquial and often sounds somewhat critical or casual: it emphasizes that something is published or produced quickly, in large quantities, or without much care. The words can be confused because both describe the release or appearance of something. If you want to speak objectively, use 'veröffentlichen'; if you deliberately want to speak casually about a large amount produced quickly, 'rauswerfen' can fit.

Der Hersteller wirft jedes Jahr mehrere neue Handymodelle raus.
The manufacturer puts out several new phone models every year.
Die Band veröffentlicht im Sommer ihr neues Album.
The band is publishing its new album in the summer.