SOLUTION: i need help with this problem, 3/x^2+4x+3-1/x^2-9

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: i need help with this problem, 3/x^2+4x+3-1/x^2-9      Log On


   

Question 38437: i need help with this problem, 3/x^2+4x+3-1/x^2-9
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
From
3 / (x^2 + 4x + 3) - 1 / (x^2 - 9)
we factor in order to find the lowest common denominator and get
3 / (x + 3)(x + 1) - 1 / (x - 3)(x + 3)
and the LCD would be (x+3)(x-3)(x+1)
Now convert each fraction
3(x - 3) / (x+3)(x-3)(x+1) - (x + 1) / (x+3)(x-3)(x+1)
= (3x - 9 - x - 1) / (x+3)(x-3)(x+1)
= (2x - 10) / (x+3)(x-3)(x+1)