Let * be a binary operation on Z × Z defined by $(a, b)^*(c, d)=(a+c, b+d) ;(a, b),(c, d) \in Z \times Z$. Find $(1,2) *(3,5)$ and $(4,3) *(1,0)$.
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Let * be a binary operation on $Z \times Z$ defined by $(a, b)^*(c, d)=(a+c, b+d) ;(a, b),(c, d) \in Z \times Z$. Find $(1,2) *(3,5)$ and $(4,3) *(1,0)$.

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SOLUTION : $(1,2)^{\star}(3,5)=(4,7)$ and $(4,3) *(1,0)=(5,3)$ 

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