SOLUTION: -2x – 8 x²+ 2x-8

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Question 149748This question is from textbook Elementary and Intermediate Algebra
: -2x – 8
x²+ 2x-8
This question is from textbook Elementary and Intermediate Algebra

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28-2x-8%29%2F%28x%5E2%2B2x-8%29 Start with the given expression.


%28-2%28x%2B4%29%29%2F%28x%5E2%2B2x-8%29 Factor -2x-8 to get -2%28x%2B4%29.


%28-2%28x%2B4%29%29%2F%28%28x%2B4%29%2A%28x-2%29%29 Factor x%5E2%2B2x-8 to get %28x%2B4%29%2A%28x-2%29.


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


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


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


So %28-2x-8%29%2F%28x%5E2%2B2x-8%29 simplifies to %28-2%29%2F%28x-2%29.


In other words, %28-2x-8%29%2F%28x%5E2%2B2x-8%29=%28-2%29%2F%28x-2%29 where x%3C%3E-4 or x%3C%3E2