SOLUTION: x^2+x-12/9-x^2

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Question 145770: x^2+x-12/9-x^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28x%5E2%2Bx-12%29%2F%289-x%5E2%29 Start with the given expression.


%28%28x%2B4%29%2A%28x-3%29%29%2F%289-x%5E2%29 Factor x%5E2%2Bx-12 to get %28x%2B4%29%2A%28x-3%29.


%28%28x%2B4%29%2A%28x-3%29%29%2F%28-%28x-3%29%2A%28x%2B3%29%29 Factor 9-x%5E2 to get -%28x-3%29%2A%28x%2B3%29.


-%28%28x%2B4%29highlight%28x-3%29%29%2F%28highlight%28x-3%29%28x%2B3%29%29 Highlight the common terms.


-%28%28x%2B4%29cross%28x-3%29%29%2F%28cross%28x-3%29%28x%2B3%29%29 Cancel out the common terms.


-%28%28x%2B4%29%29%2F%28%28x%2B3%29%29 Simplify.


So %28x%5E2%2Bx-12%29%2F%289-x%5E2%29 simplifies to -%28%28x%2B4%29%29%2F%28%28x%2B3%29%29.


In other words, %28x%5E2%2Bx-12%29%2F%289-x%5E2%29=-%28%28x%2B4%29%29%2F%28%28x%2B3%29%29 where x%3C%3E-3 or x%3C%3E3