SOLUTION: Can you show me the STEPS to solve the following: 1 over x-1 + 4 over x^2-1

SOLUTION: Can you show me the STEPS to solve the following: 1 over x-1 + 4 over x^2-1 - 2 over x^2-2x+1. Thanks.

Question 464266: Can you show me the STEPS to solve the following: 1 over x-1 + 4 over x^2-1 - 2 over x^2-2x+1. Thanks.
Answer by Gogonati(855) (Show Source): You can put this solution on YOUR website!
To solve the equation , first we factor the
denominators to find the LCD.. the LCD is
. Second write all terms with the same denominator:

Multiply both sides by LCD, and cancel like terms:
, set the equation equal to zero:
Solve this equation by factoring: The solution is:
x+1=0 <=> x=-1, and x-3=0 <=> x=3. Reject the solution x=-1 because the equation is undefined and the only solution is x=3.
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