SOLUTION: Hi, I would really like help on how to do this question step by step. The question is about adding rational expressions in fractions. I have learned it before but have forgot some

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi, I would really like help on how to do this question step by step. The question is about adding rational expressions in fractions. I have learned it before but have forgot some       Log On


   

Question 953517: Hi, I would really like help on how to do this question step by step. The question is about adding rational expressions in fractions. I have learned it before but have forgot some of it. The equation is x+1/x-1 - x-1/x+1. (The slash is the horizontal bar that divides the numerator and denominator) Thanks so much in advance.
Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
The result is 0 (zero) because the elements in this expression cancel each other.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Hi, I would really like help on how to do this question step by step. The question is about adding rational expressions in fractions. I have learned it before but have forgot some of it. The equation is x+1/x-1 - x-1/x+1. (The slash is the horizontal bar that divides the numerator and denominator) Thanks so much in advance. 
If %28x+%2B+1%29%2F%28x+-+1%29+-+%28%28x+-+1%29%29%2F%28x+%2B+1%29, then: 

%28%28x+%2B+1%29%28x+%2B+1%29+-+%28x+-+1%29%28x+-+1%29%29%2F%28x+-+1%29%28x+%2B+1%29 --------- Multiplying by LCD, (x - 1)(x + 1)

%28%28x%5E2+%2B+2x+%2B+1%29+-+%28x%5E2+-+2x+%2B+1%29%29%2F%28x+-+1%29%28x+%2B+1%29

%28x%5E2+%2B+2x+%2B+1+-+x%5E2+%2B+2x+-+1%29%2F%28x+-+1%29%28x+%2B+1%29

%28x%5E2+-+x%5E2+%2B+2x+%2B+2x+%2B+1+-+1%29%2F%28x+-+1%29%28x+%2B+1%29

highlight_green%284x%2F%28x+-+1%29%28x+%2B+1%29%29