SOLUTION: Please help me with these homework math problems. Thanks so much!!! Directions say Add or Subtract the following rational expressions reduce all answers x+5 x+3 ___+____

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help me with these homework math problems. Thanks so much!!! Directions say Add or Subtract the following rational expressions reduce all answers x+5 x+3 ___+____       Log On


   

Question 146927: Please help me with these homework math problems. Thanks so much!!!

Directions say Add or Subtract the following rational expressions reduce all answers
x+5 x+3
___+____
x+2 x+2

6 3
___ + ______
x^2-1 x + 1

4 12
____ - _____
R R^2 + 3R


6 5
______ _ _______
x^2-9 x^2-x-6 Please help
Answer by mangopeeler07(462) About Me  (Show Source):
You can put this solution on YOUR website!
1. %28x%2B5%29%2F%28x%2B2%29%2B%28x%2B3%29%2F%28x%2B2%29. Add the numerators. %282x%2B8%29%2F%28x%2B2%29.
2. 6%2F%28x%5E2-1%29%2B3%2F%28x%2B1%29. First factor x^2-1 and get %28x-1%29%28x%2B1%29. Then observe that you then have to multiply the second fraction by x-1/x-1. 6%2F%28x%5E2-1%29%2B%283x-3%29%2F%28x%5E2-1%29. Then add the numerators. %286%2B3x-3%29%2F%28x%5E2-1%29. Combine like terms. %283%2B3x%29%2F%28x%5E2-1%29. Then factor the numerator and denominator and get 3%281%2Bx%29%2F%28x%2B1%29%28x-1%29. Then cancel like expressions out and get 3%2F%28x-1%29.
Now that I have demonstrated to you the steps, you can try them on your own. Follow these steps in these distinct situations to get the answers to the other two questions: 4%2Fr-12%2F%28r%5E2%2B3r%29 and 6%2F%28x%5E2-9%29-5%2F%28x%5E2-x-6%29. Remember, factor, multiply, add (subtract=add negative), cancel. F-Mac.