to muster / summon
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muster
To mobilize all available strength, resources, or effort in order to achieve a goal. Often used in the phrase 'alles aufbieten' (to muster everything).
Die Rettungskräfte mussten ihr ganzes Können aufbieten, um die Verletzten aus dem Wrack zu befreien.
The rescue workers had to muster all their skill to free the injured people from the wreckage.
summon
To call together or order people to appear for a specific purpose, for example soldiers or witnesses.
Der König ließ alle wehrfähigen Männer aufbieten, um das Land zu verteidigen.
The king had all men fit for military service summoned to defend the country.
'Aufbieten' (to muster / summon) is a separable verb. The prefix 'auf-' comes at the end of the main clause. In subordinate clauses or in the infinitive with 'zu', the verb stays together.
Er bot seine ganze Kraft auf, um den Stein zu heben.
He mustered all his strength to lift the stone.
In the meaning of 'mobilize', 'aufbieten' (to muster) is often combined with abstract nouns such as 'Kraft' (strength), 'Mut' (courage), 'Geduld' (patience), or 'Können' (skill). A very common phrase is 'alles aufbieten' (to muster everything).
Sie musste ihre ganze Geduld aufbieten, um den Kindern zuzuhören.
She had to muster all her patience to listen to the children.
The meaning 'to call people together' is rare today and is usually used in historical or very formal legal contexts. You see it when kings gather armies or courts summon witnesses.
Das Gericht kann Zeugen aufbieten, um den Fall zu klären.
The court can summon witnesses to clarify the case.
to insert / to begin / to use
Both verbs can connect resources or forces with a goal. Einsetzen refers to their concrete use, while aufbieten places more emphasis on first bringing together or mobilizing all available resources. Einsetzen fits when the focus is on using the resources; aufbieten is more appropriate for comprehensive mobilization.
Das Team bot für die Reparatur der Brücke alle verfügbaren Kräfte auf.
The team mustered all available resources to repair the bridge.
Das Team setzte seine besten Werkzeuge für die Reparatur der Brücke ein.
The team used its best tools to repair the bridge.
