I have very large analytical expressions that are averaged "Mean[...]" and I would like to simpify as much as possible. The issue is that although Mathematica recognizes the commutative property:
Its does not recognize distributive property:
Mean[a+b]-Mean[a]-Mean[b] =/= 0
I was wondering if anyone knows of a way to implement this distributive property? For example, have Mathematica recognize that:
Mean[a+b]-Mean[a]-Mean[b] = 0
Like I said I have expressions that are extremely long and would love to be able to just have Mathematica take the average and then Simplify[...] for me.