Question

factor the denominator of the rational function $y = \frac{2x}{x^2 - 16}$. a. $(x + 4)(x - 4)$ b. $(x + 4)(x + 4)$ c. $(x + 8)(x - 2)$ d. $(x - 4)(x - 4)$

Explanation:

Step1: Identify denominator

Denominator is $x^2 - 16$.

Step2: Apply difference of squares

$a^2 - b^2 = (a+b)(a-b)$, so $x^2 - 4^2 = (x+4)(x-4)$.

Answer:

A. $(x+4)(x-4)$