SOLUTION: What is a equation equivalent to : x over x-2 divided by 4 over x squared - 4

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Question 145986: What is a equation equivalent to : x over x-2 divided by 4 over x squared - 4
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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What is a equation equivalent to : x over x-2 divided by 4 over x squared - 4
:
write it
x%2F%28%28x-2%29%29
--------
4%2F%28%28x%5E2-4%29%29
:
Invert the dividing fraction and multiply:
x%2F%28%28x-2%29%29 * %28%28x%5E2-4%29%29%2F4
You should recognize (x^2-4) as the difference of squares that can be factored:
x%2F%28%28x-2%29%29 * %28%28x-2%29%28x%2B2%29%29%2F4
Factor out (x-2)'s
x * %28%28x%2B2%29%29%2F4 = %28x%28x%2B2%29%29%2F4