ANSWER
\(25 {x}^{2} - 16 =( {5x - 4})(5x + 4)\)
EXPLANATION
We want to factor the expression,
\(25 {x}^{2} - 16\)
We can rewrite the expression as
\(25 {x}^{2} - 16 = ({5x})^{2} - {4}^{2}\)
The expression is now a difference of two squares,
Recall that,
\({a}^{2} - {b}^{2} = (a - b)(a + b)\)
The expression now becomes;
\(25 {x}^{2} - 16 =( {5x - 4})(5x + 4)\)
Therefore the correct answer is option A.
