Examin the binary operation (closuer property) of the following operations on the respective sets (if it is not, make it binary):(1)a * b= a+3ab-5b2∀ a,b∈Z (2) a * b = a-1b-1; ∀ a,b∈Q

Examin the binary operation (closuer property) of the following operations on the respective sets (if it is not, make it binary):
(1)a * b= a+3ab-5 $b^{2}$ $\forall a, b \in Z$
(2) a * b = $(\frac{a - 1}{b - 1})$ ; $\forall a, b \in Q$

Match the items on the right to the items on the left.