# Let *: R × R → R be a binary operation given

Question:

Let $*: R \times R \rightarrow R$ be a binary operation given by $a * b=a+4 b^{2} .$ Then, compute $(-5) *(2 * 0)$

Solution:

To find: $(-5) *(2 * 0)$

Given: $a^{*} b=a+4 b^{2}$

$\Rightarrow(2 * 0)=2+4 \times 0^{2}=2$

Now $(-5) * 2=-5+4 \times 2^{2}=-5+16=11$