SOLUTION: 1-2OVER X+2DIVIDED BY 1+2 OVER X-2

Question 73281: 1-2OVER X+2DIVIDED BY 1+2 OVER X-2
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
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This is how I interpreted your problem and I hope that is correct.
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In the numerator let's put everything over the common denominator of (x+2). We can do that
by replacing the 1 with and this will make the numerator:
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and when you combine this numerator over its common denominator the result is:
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and this further simplifies to:
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Next we'll do the same thing to the denominator.
In the denominator let's put everything over the common denominator of (x-2). We can do that
by replacing the 1 with and this will make the denominator become:
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and when you combine this over its common denominator the result is:
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and this further simplifies to:
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Now, putting the numerator and denominator back together in their new forms we get:
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The rule for dividing by a fraction (the denominator) is to invert it and multiply it
times the number being divided. We can apply that rule here and get:
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which when multiplied becomes
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canceling the x in the denominator with the x in the numerator finally gets us to the answer:
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Hope I interpreted your problem correctly and this is the work you were looking for.
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