Calculate the following commutator [[AB,iℏ], A]

[chris1223123]

Homework Statement

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Relevant Equations

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I've seen this question in a textbook

Calculate the following commutator [[AB,iℏ], A]

I'm not to sure how you go about it i know [A,B] = AB-BA

 

[kuruman]

Let $C=[AB,i\hbar]$.
Find $[C,A]$
Substitute the definition for $C$ in the result you got.

 

[chris1223123]

Let $C=[AB,i\hbar]$.
Find $[C,A]$
Substitute the definition for $C$ in the result you got.

Thank you! that makes sense

 

[DrClaude]

You can also start by calculating the inner commutator $[AB,i \hbar]$.