Simplify \(\frac{4}{x+1}-\frac{3}{x-1}\)
A
\(\frac{x+7}{x^2 - 1}\)
B
\(\frac{x-7}{x^2 + 1}\)
C
\(\frac{x-7}{x^2 - 1}\)
D
\(\frac{x-11}{x^2 - 1}\)
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
\(\frac{4}{x+1}-\frac{3}{x-1} \\
=\frac{4x - 4 - 3x - 3}{(x+1)(x-1)}=\frac{x-7}{x^2 - 1}\)
Source: Myschool Past Questions Archive (Record #26397)