SOLUTION: Regarding equations with fractions: Which of the following is equivalent to 1/x-2 divided by 1/x+2? Algebraically, I flip the denominator and multiply the terms to get x+2/x-

Question 1006591: Regarding equations with fractions:
Which of the following is equivalent to 1/x-2 divided by 1/x+2?
Algebraically, I flip the denominator and multiply the terms to get x+2/x-2.
But, of course, that's not an answer choice.
The correct answer choice is supposedly 1 + (4/x-2)!
How do I get there?
Would appreciate any help.
Thank you.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Honestly, is a perfectly valid answer. If I were grading your homework, then I would accept that answer.

Here's what they did to get

--------------------------------------------------------------

Notice the +2-2 up top. This is equal to 0. Adding 0 doesn't change the expression

move the -2 next to the x to get "x-2"

Break up the fraction using the rule

Use the rule (x is nonzero)

So that shows how is equivalent to

Side Note: you can also use polynomial long division or synthetic division to find that
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