Problem 20 of 35alg-020
For all for which it is defined, is equivalent to which of the following?
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Solution walkthrough1:34
- A fraction simplifies only by cancelling factors, things that are multiplied. So factor the top and the bottom first.
- Top: take out , then use the difference of squares: .
- Bottom: and multiply to and add to , so .
- The factor is on the top and the bottom. Cancel the pair, leaving over .
- Traps: A drops the , B swaps the signs when factoring the bottom, and C crosses out the terms.