SOLUTION: please help me solve this: i am not sure what to do. (1/3)-(2/x-2)+(1/x+1) Thank you Chelsie

Algebra ->  Expressions-with-variables -> SOLUTION: please help me solve this: i am not sure what to do. (1/3)-(2/x-2)+(1/x+1) Thank you Chelsie      Log On


   

Question 66932: please help me solve this: i am not sure what to do.
(1/3)-(2/x-2)+(1/x+1)
Thank you Chelsie
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(1/3)-(2/x-2)+(1/x+1)
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The least common denominator (lcd) is 3(x-2)(x+1)
Rewrite each fraction with the lcd as its denominator.
[(x-2)(x+1)/lcd] - [2*3(x+1)] + [3(x-2)]
Combine the numerators over the lcd, as follows:
[(x^2-x+1)-6x-6+3x-6]/lcd
[x^2-4x-11]/[3(x-2)(x+1)]
Cheers,
Stan H.