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