\(\frac{x^{2} - 4}{x - 8} \div \frac{x - 2}{1}\)
\(\frac{x^{2} + 2x - 2x - 4}{x - 8} \div \frac{x - 2}{1}\)
\(\frac{x(x) + x(2) - 2(x) - 2(2)}{x - 8} \div \frac{x - 2}{1}\)
\(\frac{x(x + 2) - 2(x + 2)}{x - 8} \div \frac{x - 2}{1}\)
\(\frac{(x - 2)(x + 2)}{x - 8} \div \frac{x - 2}{1}\)
\(\frac{x - 2}{x - 8}\)
The answer is C.
