Homework Statement
I am trying to show that ##a(x)[u(x),D^{3}]=-au_{xxx}-3au_{xx}D-3au_{x}D^{2}##, where ##D=d/dx##, ##D^{2}=d^{2}/dx^{2} ## etc.Homework Equations
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I have the known results :
##[D,u]=u_{x}##
##[D^{2},u]=u_{xx}+2u_{x}D##
The property: ##[A,BC]=[A,B]C+B[A,C] ##*The...