Advanced Algebra Equation

[serenefire]

I'm actually in calculus, but this problem is more of an advanced algebra type situation. Basically, I'm supposed to simplify this. I don't have any information on this in my book... Anyway, anything would be appreciated. I can probably figure it out if you can get me started; I just don't have any idea what my first step should be.

(1-e^(2x))/(1-e^x)

 

[Mrspi]

I'm actually in calculus, but this problem is more of an advanced algebra type situation. Basically, I'm supposed to simplify this. I don't have any information on this in my book... Anyway, anything would be appreciated. I can probably figure it out if you can get me started; I just don't have any idea what my first step should be.

(1-e^(2x))/(1-e^x)

Have you considered using one of the basic factoring patterns from algebra?

x^2 - y^2 = (x + y)(x - y)

And, using this property, (1 - e[sup:228uvkg3]2x[/sup:228uvkg3]) is the same thing as (1 - e[sup:228uvkg3]x[/sup:228uvkg3])(1 + e[sup:228uvkg3]x[/sup:228uvkg3])

So, now you have this:

[(1 - e[sup:228uvkg3]x[/sup:228uvkg3])*(1 + e[sup:228uvkg3]x[/sup:228uvkg3])] / (1 - e[sup:228uvkg3]x[/sup:228uvkg3])

Can you reduce this fraction?