SOLUTION: Everytime I try to solve this problem, nothing comes out the same and I can't seem to figure out where my mistake is to determine if any of my solutions are correct. Can someone pl

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Question 102786This question is from textbook Intermediate Algebra
: Everytime I try to solve this problem, nothing comes out the same and I can't seem to figure out where my mistake is to determine if any of my solutions are correct. Can someone please show me the correct way to solve this problem?
. Divide:
x2 – 3x + 2 / x2 – 1
7x – 14 / 7x + 7
NOTE: there should be a line between the upper and lower terms on each side of the division symbol.
This question is from textbook Intermediate Algebra

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Every time I try to solve this problem, nothing comes out the same and I can't seem to figure out where my mistake is to determine if any of my solutions are correct. Can someone please show me the correct way to solve this problem?
. Divide:
Assume you mean

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

:
Let's do the numerator fraction and the denominator fraction separately:
:
Simplify the numerator fraction:

:
Note that you can factor both denominator and numerator to:

:
Note that the (x-1)'s will cancel leaving you with:

:
:
Simplify the denominator fraction

:
Note that you can factor out the 7's

:
7's cancel, leaving you with:

:
Put it all back together and you have:

---------

:
Remember you invert the dividing fraction and multiply:
* = 1
:
Note that everything cancels
:
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