# If * be the binary operation on the set Z of all integers defined

Question:

If $*$ be the binary operation on the set $Z$ of all integers defined by $a * b\left(a+3 b^{2}\right)$, find $2 * 4$

Solution:

To find: $2 * 4$

Given: $a * b=a+3 b^{2}$

$\Rightarrow 2 * 4=\left(2+3 \times 4^{2}\right)=2+48=50$