SOLUTION: How do you simplify this: x+(x+2)^-1 divided by 1-(x+2)^-1 ?
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Question 520162: How do you simplify this: x+(x+2)^-1 divided by 1-(x+2)^-1 ?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Recall that an expression with a negative exponent moves from numerator to denominator or vice versa, so:
Start with the numerator expression: The common denominator is 
, so:
Then same procedure for the denominator:
To divide fractions, invert and multiply:
\left(\frac{x\ +\ 2}{x\ +\ 1}\right))
Eliminate identical factors in the numerator and denominator:
Factor the numerator:
\left(x\ +\ 1\right)}{x\ +\ 1})
Eliminate identical factors in the numerator and denominator:
John
My calculator said it, I believe it, that settles it
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