Question

If the binary operation $\ast$ is on set of integers $Z$ is defined as
$a\ast b=a+2b^2$ , then the value of $(8\ast 3)\ast 2$

• A. $26$
• B. $22$
• C. $32$
• D. $34$

Answer 1

The correct option is D $34$

$a\ast b=a+2b^2$

$\Rightarrow (8\ast 3)\ast 2=(8+2(3{)}^2)\ast 2$

$=(26\ast 2)$

$=26+2(2{)}^2$

$=26+8$

$=34$