Simplify: \(\frac{x^2 - 5x - 14}{x^2 - 9x + 14}\)
A
\(\frac{x - 7}{x + 7}\)
B
\(\frac{x + 7}{x - 7}\)
C
\(\frac{x - 2}{x + 4}\)
D
\(\frac{x + 2}{x - 2}\)
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
\(\frac{x^2 - 5x - 14}{x^2 - 9x + 14}\)
\(\frac{(x - 7)(x + 2)}{(x - 7)(x - 2)}\)
= \(\frac{x + 2}{x - 2}\)
Source: Myschool Past Questions Archive (Record #57221)