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Consider the binary operations *:" "RxxR...

Consider the binary operations `*:" "RxxR ->R` and `o:" "R" "xx" "R->R` defined as `a*b|a-b|` and `a" "o" "b" "=" "a , AA""""a ," "b in R` . Show that * is commutative but not associative, o is associative but not commutative. Further, show that `AAa

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