Let $$ is a binary operation defined on $R$ , if $a b = a + b + 6 a b,$ then the value of $3 * 2$ is ______

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Solution

According to the given definition of binary operation $$ ,
$a b = a + b + 6 a b$
$\Rightarrow 3 * 2 = 3 + 2 + 6 \times 3 \times 2 = 41$ .

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