SOLUTION: (x/x+1) - (2/x-1) - 1 please explain/show this to me... i tried doing it and again, only got very partial credit . i dont understand the whole LCD thing with the negatives...

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: (x/x+1) - (2/x-1) - 1 please explain/show this to me... i tried doing it and again, only got very partial credit . i dont understand the whole LCD thing with the negatives...       Log On


   

Question 127930: (x/x+1) - (2/x-1) - 1
please explain/show this to me... i tried doing it and again, only got very partial credit . i dont understand the whole LCD thing with the negatives...
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
(x/x+1) - (2/x-1) - 1 The LCD=(x+1)(x-1)
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Multiply LCD times each fraction:
x(x+1)(x-1)/(x+1)=x(x-1)
2(x+1)(x-1)/(x-1)=2(x+1)
1(x+1)(x-1) The denominator is one so nothing cancels in the numerator.
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%28x%28x-1%29-2%28x%2B1%29-%28x%2B1%29%28x-1%29%29%2F%28%28x%2B1%29%28x-1%29%29
=%28x%5E2-x-2x-2-x%5E2%2B1%29%2F%28%28x%2B1%29%28x-1%29%29
=%28-3x-1%29%2F%28x%5E2-1%29
.
Ed