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Justw ondering if this would suffice ?

∫ ψ^*(A+B) ∅ dt= ∫((A+B) ψ)^* ∅ dt assuming (A+B) is hermitian

I can do that again

∫ ψ^*(A+B) ∅ dt= ∫((A+B) ψ)^* ∅ dt

multiply them together

∫((A+B) ψ)^(2*) ∅^2 dt

and we contine to multiplying till n aand theyre stil hermitian .

what do you guys think ? should I do soemthing else