Simplify \(\frac{x - 7}{x^2 - 9}\) x \(\frac{x^2 - 3x}{x^2 - 49}\)
A
\(\frac{x}{(x - 3)(x - 7)}\)
B
\(\frac{x}{(x + 3)(x - 7)}\)
C
\(\frac{x}{(x + 3)(x + 7)}\)
D
\(\frac{x}{(x - 3)(x + 7)}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\frac{x - 7}{x^2 - 9}\) x \(\frac{x^2 - 3x}{x^2 - 49}\)
= \(\frac{x - 7}{(x - 3)(x + 3)}\) x \(\frac{x(x - 3)}{(x - 7)(x + 7)}\)
= \(\frac{x}{(x + 3)(x + 7)}\)
Source: Myschool Past Questions Archive (Record #32456)