SOLUTION: Add or Subtract as indicated. Express your result in simplest form. 3/x^2 + 4x + 3 - 1/x^2 - 9

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Add or Subtract as indicated. Express your result in simplest form. 3/x^2 + 4x + 3 - 1/x^2 - 9      Log On


   

Question 93409: Add or Subtract as indicated. Express your result in simplest form.
3/x^2 + 4x + 3 - 1/x^2 - 9
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Add or Subtract as indicated. Express your result in simplest form.
3/x^2 + 4x + 3 - 1/x^2 - 9
:
Assume the problems is:
3%2F%28%28x%5E2+%2B+4x+%2B+3%29%29 - 1%2F%28%28x%5E2+-+9%29%29
:
Factor:
3%2F%28%28x%2B3%29%28x%2B1%29%29 - 1%2F%28%28x%2B3%29%28x-3%29%29%29
:
The common denominator: (x+3)(x+1)(x-3)
%283%28x-3%29+-+1%28x%2B1%29%29%2F%28x%2B3%29%28x%2B1%29%28x-3%29 = %283x+-+9+-+x+-+1%29%2F%28x%2B3%29%28x%2B1%29%28x-3%29 = %282x+-+10%29%2F%28x%2B3%29%28x%2B1%29%28x-3%29 = %282%28x+-+5%29%29%2F%28x%2B3%29%28x%2B1%29%28x-3%29
:
That's about all you can do with it