SOLUTION: All answers should be in simplest form. 5x+6/x^2+2x+1 - 3/x+1 = This is what I have done. 5x+6/(x+1)(x+1) + 3/(-x-1)= 5x+9/(x+1)(x+1)(-x-1)

Algebra ->  Rational-functions -> SOLUTION: All answers should be in simplest form. 5x+6/x^2+2x+1 - 3/x+1 = This is what I have done. 5x+6/(x+1)(x+1) + 3/(-x-1)= 5x+9/(x+1)(x+1)(-x-1)      Log On


   

Question 686950: All answers should be in simplest form.
5x+6/x^2+2x+1 - 3/x+1 =
This is what I have done.
5x+6/(x+1)(x+1) + 3/(-x-1)= 5x+9/(x+1)(x+1)(-x-1)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%285x%2B6%29%2F%28x%5E2%2B2x%2B1%29+-+3%2F%28x%2B1%29 ........
you did this: and you made mistake forgetting to multiply 3 with %28%28x%2B1%29%28x%2B1%29%29 because you have addition sign between 5x%2B6%2F%28x%2B1%29%28x%2B1%29 and 3%2F%28-x-1%29
I would prefer to leave minus sign because %28-x-1%29 looks kind of confusing.
%285x%2B6%29%2F%28x%5E2%2B2x%2B1%29+-+3%2F%28x%2B1%29
%285x%2B6%29%2F%28%28x%2B1%29%28x%2B1%29%29+-+3%2F%28x%2B1%29.........LCD for %28x%2B1%29%28x%2B1%29 and %28x%2B1%29 is %28x%2B1%29%28x%2B1%29

%285x%2B6%29%2F%28%28x%2B1%29%28x%2B1%29%29+-+3%28x%2B1%29%2F%28%28x%2B1%29%28x%2B1%29%29

%28%285x%2B6%29-3%28x%2B1%29%29%2F%28%28x%2B1%29%28x%2B1%29%29

%285x%2B6-3x-3%29%2F%28%28x%2B1%29%28x%2B1%29%29

%282x%2B3%29%2F%28%28x%2B1%29%28x%2B1%29%29