Question #N206
The expression $\frac{x^2 + 3x - 4}{x^2 - 1}$ is equivalent to which of the following?
A. $\frac{x-4}{x-1}$
B. $\frac{x-1}{x+1}$
C. $\frac{x+4}{x+1}$
D. $\frac{x+4}{x-1}$
Correct Answer is: C
We can factor the numerator and denominator to simplify the expression. The numerator factors as $(x+4)(x-1)$ and the denominator factors as $(x+1)(x-1)$. The common factor of $(x-1)$ cancels out, leaving us with $\frac{x+4}{x+1}$.