Complex fractions

Question

1+ 4/x + 4/x squared divided by 1- 2/x - 8/x squared

Answer 1

1+(4/x)+(4/x²)

------------------

1-(2/x)-(8/x²)

 

Multiply the numerator and denominator by x²:

 

{1+(4/x)+(4/x²)}*x²         x²+4x-4
---------------------------  =  -------------
{1-(2/x)-(8/x²)} *x²          x²-2x-8

 

Now factor the numerator and denominator:

 

x²+4x-4       (x+2)(x+2)

----------  =  ---------------

x²-2x-8        (x+2)(x-4)

 

Cancel the (x+2) over (x+2):

 

(x+2)(x+2)       (x+2)
-------------  =   -------
(x+2)(x-4)        (x-4)

 

 

 

Answer 2

It's hard to tell what this fraction looks like. Can you provide more details?