If a{\(\frac{x + 1}{x - 2} - \frac{x - 1}{x + 2}\)} = 6x. Find a in its simplest form
A
x2 - 1
B
x2 + 1
C
x2 + 4
D
x2 - 4
E
1
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
a{\(\frac{x + 1}{x - 2} - \frac{x - 1}{x + 2}\)} = a{\(\frac{(x + 1)(x + 2)- (x - 1)(x - 2)}{(x - 2)(x + 2)}\)}
= 6
\(\frac{6x}{x^2 - 4}\) = 6x
a = x2 - 4
Source: Myschool Past Questions Archive (Record #32289)