SOLUTION: I need help simplifying this equation: {{{ ((1/(x-2))+1)/((1/(x-2))-1)) }}} I feel dumb for asking, but I can't seem to figure how I should start simplifying these type of fu

Algebra ->  Functions -> SOLUTION: I need help simplifying this equation: {{{ ((1/(x-2))+1)/((1/(x-2))-1)) }}} I feel dumb for asking, but I can't seem to figure how I should start simplifying these type of fu      Log On


   



Question 230719: I need help simplifying this equation:
+%28%281%2F%28x-2%29%29%2B1%29%2F%28%281%2F%28x-2%29%29-1%29%29+
I feel dumb for asking, but I can't seem to figure how I should start simplifying these type of functions.
Thank you in advanced~

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
((1/(x-2))+1)/((1/(x-2))-1))
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= [1+ (x-2)]/(x-2) / [1-(x-2)]/(x-2)
----------------------------------
Invert the denominator and multiply:
= [1+ (x-2)]/(x-2) *(x-2)/ [1-(x-2)]
-------------
Cancel the (x-2) factors:
---
= [1+ (x-2)] * 1/ [1-(x-2)]
---------------
= [x-1]/[3-x]
===================
Cheers,
Stan H.