SOLUTION: 4x^2-20x+3/2x+1 + 2x^2-25x-27/4x+2 Okay, I can do this one, I just wanted to make sure my LCD was right LCD=4x+2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 4x^2-20x+3/2x+1 + 2x^2-25x-27/4x+2 Okay, I can do this one, I just wanted to make sure my LCD was right LCD=4x+2      Log On


   

Question 137954: 4x^2-20x+3/2x+1 + 2x^2-25x-27/4x+2
Okay, I can do this one, I just wanted to make sure my LCD was right
LCD=4x+2
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
%28%284x%5E2-20x%2B3%29%2F%282x%2B1%29%29%2B%28%282x%5E2-25x-27%29%2F%284x%2B2%29%29
The denominators have a common factor of %282x%2B1%29:
%28%284x%5E2-20x%2B3%29%2F%28%282x%2B1%29%29%29%2B%28%282x%5E2-25x-27%29%2F2%282x%2B1%29%29 so if you multiply the first fraction by 2%2F2 you will then have a common denominatot of %284x%2B2%29 and this is the LCD.
%282%284x%5E2-20x%2B3%29%2F2%282x%2B1%29%29%2B%28%282x%5E2-25x-27%29%2F2%282x%2B1%29%29 or...
%28%288x%5E2-40x%2B6%29%2F%284x%2B2%29%29%2B%28%282x%5E2-25x-27%29%2F%284x%2B2%29%29
Now you can add the two fractions.
Good luck!