Can't simplify this fraction

  • Thread starter Andrusko
  • Start date
  • #1
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Fraction is:

[tex]\frac{1-e^{-x}}{1-e^{x}}[/tex]

and it's meant to go to:

[tex]-e^{-x}[/tex]

I can't make it look like it needs to. I tried splitting it up but that goes nowhere.

What other strategies are there for simplifying fractions like this?

Thanks for any help.
 

Answers and Replies

  • #2
Borek
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[tex]1-e^{-x} = -e^{-x}(...)[/tex]
 
  • #3
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[tex] 1 - e^{-x} = -e^{-x} + 1 [/tex]

? Still don't get it sorry...
 
  • #4
Borek
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[tex]
1-e^{-x} = -e^{-x}(... - 1)
[/tex]
 
  • #5
gabbagabbahey
Homework Helper
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What do you get when you multiply both the numerator and the denominator by [itex]-e^{-x}[/itex]?
 
  • #6
HallsofIvy
Science Advisor
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Or multiply numerator and denominator by the "conjugate", 1+ e-x.
 

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