Answer
$9$
Work Step by Step
Use the order of operations
$$\begin{align*}
&\text{ First: Parentheses } \\
12\displaystyle \underbrace{\left(\frac{14}{2}\right) }_{7}-3^{2}+15-9^{2}&=12(7)-3^{2}+15-9^{2} \\
&\text{ Second: Exponents } \\
& =12(7)-\underbrace{3^{2}}_{9}+15-\underbrace{3^{2}}_{81} \\
& =12(7)-9+15-81 \\\\
&\text{ Third: Multiplication and Division (from left to right) } \\
& =\underbrace{12(7)}_{84}-9+15-81 \\\\
&\text{ Fourth: Addition and Subtraction (from left to right)}\\
& =\underbrace{84-9}_{75}+15-81 \\
& =\underbrace{75+15}_{90}-81 \\
& =90-81 \\
& =9 \end{align*}$$
