SOLUTION: Perform the indicated operations and simplify: (a) [(x-2)/(x+2)]-[(x)/(x-1)]

Algebra ->  Signed-numbers -> SOLUTION: Perform the indicated operations and simplify: (a) [(x-2)/(x+2)]-[(x)/(x-1)]       Log On


   

Question 556158: Perform the indicated operations and simplify:
(a) [(x-2)/(x+2)]-[(x)/(x-1)]
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
a) (x-2)/(x+2) - x/(x-1)
= ((x-2)(x-1) - x(x+2))/((x+2)(x-1))
= (x^2 - 3x + 2 - x^2 - 2x)/((x+2)(x-1))
= (x+2)/((x+2)(x-1))
= 1%2F%28x-1%29