SOLUTION: 1 over x-1 minus 2 over x-2 plus 1 over x-3

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Question 6009: 1 over x-1 minus 2 over x-2 plus 1 over x-3

Answer by guapa(62) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28x-1%29-2%2F%28x-2%29%2B1%2F%28x-3%29
Find the LCD first which is (x-1)(x-2)(x-3). Now you have to write equivalant fractions with a common denominator.
1%28x-2%29%28x-3%29%2F%28x-1%29%28x-2%29%28x-3%29-2%28x-1%29%28x-3%29%2F%28x-1%29%28x-2%29%28x-3%29%2B1%28x-1%29%28x-2%29%2F%28x-1%29%28x-2%29%28x-3%29
Evaluate the numerator
%28x%5E2-5x%2B6-2x%5E2-4x-6%2Bx%5E2-3x%2B2%29%2F%28x-1%29%28x-2%29%28x-3%29
Combine similar terms in the numerator
%28-2x%2B2%29%2F%28x-1%29%28x-2%29%28x-3%29
Factor out -2 in the numerator
-2%28x-1%29%2F%28x-1%29%28x-2%29%28x-3%29
Now you can see that you can reduce the fraction by cannceling (x-1).
Your final answer is:
-2%2F%28x-2%29%28x-3%29
Hope it helps