# Can't simplify this fraction

Fraction is:

$$\frac{1-e^{-x}}{1-e^{x}}$$

and it's meant to go to:

$$-e^{-x}$$

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

Related Calculus and Beyond Homework Help News on Phys.org
Borek
Mentor
$$1-e^{-x} = -e^{-x}(...)$$

$$1 - e^{-x} = -e^{-x} + 1$$

? Still don't get it sorry...

Borek
Mentor
$$1-e^{-x} = -e^{-x}(... - 1)$$

gabbagabbahey
Homework Helper
Gold Member
What do you get when you multiply both the numerator and the denominator by $-e^{-x}$?

HallsofIvy