Question

select the correct answer. what is the quotient? \\(\frac{x^2 - 4}{(x - 2)(x - 4)}\\) \\(\bigcirc\\) a. \\(\frac{x + 2}{x - 4}\\) \\(\bigcirc\\) b. \\(\frac{x - 2}{x - 4}\\) \\(\bigcirc\\) c. \\(\frac{x}{x - 2}\\) \\(\bigcirc\\) d. \\(\frac{x + 2}{x - 2}\\)

Explanation:

Step1: Factor numerator

$x^2 - 4 = (x + 2)(x - 2)$

Step2: Cancel common factors

$\frac{(x + 2)(x - 2)}{(x - 2)(x - 4)} = \frac{x + 2}{x - 4}$

Answer:

A. $\frac{x + 2}{x - 4}$