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
Correct Answer: Option D
Explanation
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