Question

If the binary operation on the set of integers Z, defined by $a\times b=a+3b^2$, then find the value of $8\times 3$.

Answer 1

$a\times b=a+3b^2$

$\Rightarrow 8\times 3=8+3\left(3^2\right)$

$=8+3\left(9\right)=35$