SOLUTION: Ahhhh, I am a pretty good math student and this question is probably not something I will see on my test but it's driving me nuts, please help... {{{((x-1)/(x^2-4))/(1+1/(x-2))}

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Question 722693: Ahhhh, I am a pretty good math student and this question is probably not something I will see on my test but it's driving me nuts, please help...

The book says the answer is 4/(x+2)(x-2) but I keep getting -3/(x+2)(x-2).
I am obviously handling the second term incorrectly but if some one could show me the work I know I'll get it.

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


Do the left numerator by factoring the denominator:

                = 

Do the left denominator by getting an LCD of (x-2):

                =  =  = 

So we have



The first term is a fraction divided by a fraction, so



So we invert the second fraction and change the division to 
multiplication.



We cancel the (x-2)'s



We cancel the (x-1)'s






Get an LCD of (x+2)(x-2)














So the answer has -4 in the numerator, not +4.

Edwin



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