Simplying rational expression with addition and subtraction

[stillacubsfan1964]

The problem is to perform the operation and simplify: (x-5) / (6Xsq - 11X +3) + (4x+1) / (3xsq +5x-2) - (5-x) / (2xsq +x -6)

This is what i have so far:
xsq - 3x -10 + 8xsq -10x-3-3xsq -16x+5 / (3x-1)(2x-3)(x+2) which then is

6xsq - 29x -8 / (3x-1)(2x-3)(x+2)

Not sure if this is right and how to simplify this. I tried foiling and can't come up with an answer. I'm guessing it should include one or more of the denominator but it's not working.

New to the board and any help would be appreciated.

 

[tkhunny]

Re: Simplying rational expression with addition and subtract

I tried foiling

Please never say that again. If you are trying to simplify, why would you multiply the factors to make a bigger mess? Your task should be to factor the Numerator. If nothing else, the Quadratic Formula will give you a clue.

Check all your arithmetic.
Once you are satisfied with the Numerator, try it out.

(-29)^2 - 4(6)(-8) is NOT a perfect square, so you shouldn't be able to factor it and you are done.

 

[Kimbers0812]

I'm more confused now then ever. I have no idea how you came up with your answer.

 

[tkhunny]

I didn't give an answer. I used yours.

Have you heard of the Quadratic Formula? If not, this could be a problem. You will just have to find some other way to guarantee that the numerator cannot be factored.

 

[tkhunny]

Okay, I now had a closer look. It appears you missed a sign on the third term. Try that one again. It starts with subtraction and the original numerator is backwards. Be very careful.