Final answer:
None of the given algebraic fractions can be reduced.
Step-by-step explanation:
In order to determine which of the given algebraic fractions can be simplified, we need to identify if there are any common factors in the numerator and denominator.
Let's analyze each option:
A. 8-x / 9-16x^2 - There are no common factors in the numerator and denominator, so this fraction cannot be simplified.
B. 5-x / 25-x^2 - Similarly, there are no common factors in the numerator and denominator, so this fraction cannot be simplified.
C. (x^2 + 4x) / (5x^2 - 4) - There are no common factors in the numerator and denominator, so this fraction cannot be simplified.
D. 3x^2 / (x^2 + 8) - The numerator and denominator do not have any common factors, so this fraction cannot be simplified either.
None of the given algebraic fractions can be reduced.