
bewaffnen
to arm
To equip someone with weapons.
Die Wachen des Palastes waren schwer bewaffnet.
The palace guards were heavily armed.
to arm
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to arm
To equip someone with weapons.
Die Wachen des Palastes waren schwer bewaffnet.
The palace guards were heavily armed.

to arm oneself
To equip oneself with one or more weapons in order to defend oneself or attack.
Die Rebellen begannen, sich heimlich zu bewaffnen.
The rebels began to arm themselves secretly.

to arm oneself with
Figuratively: to equip oneself with something needed to handle a task, such as patience, knowledge, or arguments.
Für die bevorstehende Verhandlung bewaffnete er sich mit allen relevanten Fakten.
For the upcoming negotiation, he armed himself with all the relevant facts.
The verb 'bewaffnen' (to arm) is formed from the noun 'die Waffe' (weapon) with the prefix 'be-'. This prefix is often used to turn a noun into a verb meaning 'to provide with something'.
Die Polizei bewaffnete sich für den Einsatz mit Schutzausrüstung.
The police armed themselves with protective equipment for the operation.
The past participle 'bewaffnet' (armed) is very often used like an adjective to describe a person or group carrying weapons. It can also be intensified, e.g. 'schwer bewaffnet' (heavily armed).
Ein bewaffneter Räuber überfiel die Bank.
An armed robber held up the bank.
The verb is often used reflexively: 'sich bewaffnen' means that a person or group equips themselves with weapons. The reflexive pronoun is in the accusative.
Aus Angst vor Einbrechern hat er sich mit einem Baseballschläger bewaffnet.
Out of fear of burglars, he armed himself with a baseball bat.
In the figurative meaning, the verb always takes the preposition 'mit' (with) and a dative object. This object is usually something abstract like 'Geduld' (patience), 'Wissen' (knowledge), or 'Argumente' (arguments).
Für die Prüfung bewaffnete sie sich mit einer großen Kanne Kaffee und viel Geduld.
For the exam, she armed herself with a large pot of coffee and a lot of patience.
to equip
Ausrüsten is a general word for providing someone or something with the items they need, so it can also involve weapons. Bewaffnen directly means equipping someone with weapons. With ausrüsten, you need to add “mit Waffen” when that is specifically what you mean.

Die Armee bewaffnet die Soldaten mit neuen Gewehren.
The army is arming the soldiers with new rifles.
Die Armee rüstet die Soldaten mit neuen Waffen aus.
The army is equipping the soldiers with new weapons.