SOLUTION: Help with this complex rational expression with polynomials. I need to know step by step how to solve this, I keep comin up with x-1/(x+2)(x-2)+(x+2) The correct answer is 1/x+2

Question 524290: Help with this complex rational expression with polynomials. I need to know step by step how to solve this, I keep comin up with x-1/(x+2)(x-2)+(x+2)
The correct answer is 1/x+2
I labeled the all over line. The denominator is 1+ 1/x-2 just to clarify.
The problem is:
x-1
_____
x^2-4
_________ <--- this is "all over"
1+ 1/x-2

Thanks for any help.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
divided by Simplify the divisor to:
=
So now you have:
divided by which is:
Factor the denominator of the first fraction:
Cancel the indicated factors to leave:

RELATED QUESTIONS
Please I really need help with this equation 2u-9=7u+15-u-20 Could you show me... (answered by richard1234)

I just need a step by step example on how to solve a rational... (answered by PRMath)

help with this 4x-2√(x-1)=6x-14 please i need to know what u did step by step if u... (answered by Alan3354)

lnx+ln(x+8)=4 i need help on how to solve this step by... (answered by KMST)

I need help with this problem. "Distribute and Solve": j(3j^3/12j) = 25. I'm not looking (answered by Fombitz)

i am doing notecards for algebra and i need to know how to explain distributive property... (answered by rfer)

4(a-2)+3(2a+1)=5 i need to know how to solve this step by step... (answered by ewatrrr)

I need to know how to evaluate this problem step by step. Help please 8 + (1 + 5)2 �... (answered by checkley79)

On my homework i would need to factor the polynomials completely; and that some... (answered by rapaljer)