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Define * on Z by a*b =a+b+ab showthat * is a binary operation operation on z which is neither commutativenor associative

Answer»

SOLUTION :`a in Z b in Z rarr (a-b) ein Z and ab in Z`
`rarr {(a-b)+ab) in Z rarr a-b + ab in Z`
`therefore` Z is closed for *
Show that 3*2 ne 2 * 3 and (4*3)*2 ne 4 *(3*2)


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