Question: please answer all questions Show that and three operators, A^,B^, and C^ satisfy: (a) [A^,B^]=[B^,A^] (b) [A^,B^C^]=B^[A^,C^]+[A^,B^]C^ (c) [A^,B^+C^]=[A^,B^]+[A^,C^] (d) (A^+B^)(A^B^)=A^2B^2 if and only if
please answer all questions 
Show that and three operators, A^,B^, and C^ satisfy: (a) [A^,B^]=[B^,A^] (b) [A^,B^C^]=B^[A^,C^]+[A^,B^]C^ (c) [A^,B^+C^]=[A^,B^]+[A^,C^] (d) (A^+B^)(A^B^)=A^2B^2 if and only if [A^,B^]=0
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