SOLUTION: How do you simplify this: x+(x+2)^-1 divided by 1-(x+2)^-1 ?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: How do you simplify this: x+(x+2)^-1 divided by 1-(x+2)^-1 ?      Log On


   

Question 520162: How do you simplify this: x+(x+2)^-1 divided by 1-(x+2)^-1 ?
Answer by solver91311(24713) About Me  (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:



Eliminate identical factors in the numerator and denominator:



Factor the numerator:



Eliminate identical factors in the numerator and denominator:



John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism