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**Quantum/math question :)**

## Homework Statement

I need to expand the commutator of the 3 operators A,B,C: [A,BC] in terms of [A,B], [A,C], [B,C].

## Homework Equations

[A,B] is defined to be AB - BA

also, [A,BC] = B[A,C] +[A,B]C.

There are some other identities but none that I see relevant.

## The Attempt at a Solution

Tried lots of opening and additing/substructing of elements using the above formulas but I could never get rid of "operators". Is the a way to write "B" and "C" in terms of the above?

I'm working on this for over an hour! :(

Thank you very much!

Tomer.