ANSWER
A.
\(- 9\)
EXPLANATION
The given expression is
\(3( \frac{14}{ {4}^{2} - {3}^{2} } - 5)\)
Recall that,
\({a}^{2} - {b}^{2} = (a - b)(a + b)\)
We apply the difference of two squares formula to factor the numerator to obtain,
\(= 3( \frac{14}{ (4 - 3)(4 + 3) } - 5)\)
We simplify the factors in the denominator to get,
\(= 3( \frac{14}{ (1)(7) } - 5)\)
Let us cancel out the common factors now to get,
\(= 3( 2 - 5)\)
This will give us,
\(= 3( - 3) = - 9\)
The correct answer is A.
