SOLUTION: Multiply ( x^2 + 4 / x^2 – 4) (x - 2 / x + 2)

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Question 253001: Multiply ( x^2 + 4 / x^2 – 4) (x - 2 / x + 2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
+%28%28x%5E2%2B4%29%2F%28x%5E2-4%29%29%28%28x-2%29%2F%28x%2B2%29%29+ Start with the given expression.


%28%28x%5E2%2B4%29%2F%28%28x-2%29%28x%2B2%29%29%29%28%28x-2%29%2F%28x%2B2%29%29 Factor x%5E2-4 to get %28x-2%29%28x%2B2%29.


+%28%28x%5E2%2B4%29%28x-2%29%29%2F%28%28x-2%29%28x%2B2%29%28x%2B2%29%29+ Combine the fractions.


Highlight the common terms.


%28%28x%5E2%2B4%29cross%28%28x-2%29%29%29%2F%28cross%28%28x-2%29%29%28x%2B2%29%28x%2B2%29%29 Cancel out the common terms.


%28x%5E2%2B4%29%2F%28%28x%2B2%29%28x%2B2%29%29 Simplify.


%28x%5E2%2B4%29%2F%28x%5E2%2B4x%2B4%29 FOIL.


So %28%28x%5E2%2B4%29%2F%28x%5E2-4%29%29%28%28x-2%29%2F%28x%2B2%29%29 simplifies to %28x%5E2%2B4%29%2F%28x%5E2%2B4x%2B4%29.


In other words, where x%3C%3E-2 or x%3C%3E2