SOLUTION: {{{x^2-x-6/x^2-4}}}

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Question 356562: x%5E2-x-6%2Fx%5E2-4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E2-x-6%29%2F%28x%5E2-4%29 Start with the given expression.


%28%28x%2B2%29%2A%28x-3%29%29%2F%28x%5E2-4%29 Factor x%5E2-x-6 to get %28x%2B2%29%2A%28x-3%29.


%28%28x%2B2%29%2A%28x-3%29%29%2F%28%28x-2%29%2A%28x%2B2%29%29 Factor x%5E2-4 to get %28x-2%29%2A%28x%2B2%29.


%28highlight%28%28x%2B2%29%29%28x-3%29%29%2F%28%28x-2%29highlight%28%28x%2B2%29%29%29 Highlight the common terms.


%28cross%28%28x%2B2%29%29%28x-3%29%29%2F%28%28x-2%29cross%28%28x%2B2%29%29%29 Cancel out the common terms.


%28x-3%29%2F%28x-2%29 Simplify.


So %28x%5E2-x-6%29%2F%28x%5E2-4%29 simplifies to %28x-3%29%2F%28x-2%29.


In other words, %28x%5E2-x-6%29%2F%28x%5E2-4%29=%28x-3%29%2F%28x-2%29


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim