SOLUTION: Can this expression be simplified? 3/(x^2-3x+2) - 7/(x^2-x-2) + 3/(x^2-1)

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Can this expression be simplified? 3/(x^2-3x+2) - 7/(x^2-x-2) + 3/(x^2-1)      Log On


   

Question 150357: Can this expression be simplified?
3/(x^2-3x+2) - 7/(x^2-x-2) + 3/(x^2-1)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F%28x%5E2-3x%2B2%29 - 7%2F%28x%5E2-x-2%29 + 3%2F%28x%5E2-1%29
Factor the denominators:
3%2F%28%28x-2%29%28x-1%29%29 - 7%2F%28%28x-2%29%28x%2B1%29%29 + 3%2F%28%28x-1%29%28x%2B1%29%29
:
The common denominator: (x-2)(x+1)(x-1)
%283%28x%2B1%29+-+7%28x-1%29+%2B+3%28x-2%29%29%2F%28%28x-2%29%28x%2B1%29%28x-1%29%29
:
%283x+%2B+3+-+7x+%2B+7+%2B+3x+-+6%29%2F%28%28x-2%29%28x%2B1%29%28x-1%29%29 = %28-x+%2B+4%29%2F%28%28x-2%29%28x%2B1%29%28x-1%29%29