SOLUTION: I need help trying to solve this. Well I know the answer, I just need a deeper explanation. x^2-x-6/x^2-4 The answer they gave was x-3/x-2

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Question 624721: I need help trying to solve this. Well I know the answer, I just need a deeper explanation.
x^2-x-6/x^2-4
The answer they gave was x-3/x-2

Found 2 solutions by jim_thompson5910, Edwin McCravy:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
The idea is to factor each piece and cancel any common factors














So fully simplifies to

Answer by Edwin McCravy(20064)   (Show Source): You can put this solution on YOUR website!


The numerator x²-x-6 factors as (x-3)(x+2)

To see how to do that watch this youtube video:


http://www.youtube.com/watch?v=jR6RBA9bois&feature=relmfu

The denominator x²-4 factors as (x-2)(x+2)

To see how to do that watch this youtube video:

http://www.youtube.com/watch?v=_qyVzH3e1dY

So



becomes



Now the (x+2) on the top cancels with the (x+2)
on the bottom, like this:



And all that's left is



Edwin





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