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Show that +" ":" "R" "xx" "R ->R and xx"...

Show that `+" ":" "R" "xx" "R ->R` and `xx" ":" "R" "xx" "R ->R` are commutative binary operations, but `" ":" "RxxR ->R` and `-:" ":" "R_* xxR_* ->R_*` are not commutative.

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