SOLUTION: Simplify the complex fraction: (2/x-1)-4/(1/x-1)+(1/x-2) Not sure where to start with this question.

Algebra ->  Radicals -> SOLUTION: Simplify the complex fraction: (2/x-1)-4/(1/x-1)+(1/x-2) Not sure where to start with this question.      Log On


   

Question 325504: Simplify the complex fraction:
(2/x-1)-4/(1/x-1)+(1/x-2)
Not sure where to start with this question.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify first,
2%2F%28x-1%29-4%2F%28x-1%29=-2%2F%28x-1%29
Next step, find a common denominator,
In this case,%28x-1%29%28x-2%29


2%2F%28x-1%29-4%2F%28x-1%29%2B1%2F%28x-2%29=%28-2x%2B4%2Bx-1%29%2F%28%28x-1%29%28x-2%29%29
2%2F%28x-1%29-4%2F%28x-1%29%2B1%2F%28x-2%29=%28-x%2B3%29%2F%28%28x-1%29%28x-2%29%29
2%2F%28x-1%29-4%2F%28x-1%29%2B1%2F%28x-2%29=-%28x-3%29%2F%28%28x-1%29%28x-2%29%29