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Let * be a binary operation on the se...

Let `*` be a binary operation on the set Q of rational numbers as follows: (i) `a" "*" "b" "=" "a" "-" "b` (ii) `a" "*" "b" "=a^2+b^2` (iii) `a" "*" "b" "=" "a" "+" "a b` (iv) `a" "*" "b" "=(a-b)^2` (v) `a*b=(a b)/4` (vi) `a" "*" "b" "=a b^2` . Find wh

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(ii) , (iv) ,(v) are commutative; (v) is associative.
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