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