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Mathematics 6 Online
OpenStudy (anonymous):

Simply Algebra.

OpenStudy (anonymous):

How would you split:\[\frac{ e^{2x} }{ 1+e^x}\] into \[\frac{ e^x }{ 1+e^x }-e^x\]

OpenStudy (anonymous):

Not making sense. \[\frac{ e^{2x} }{ 2 }?\]

OpenStudy (anonymous):

yes ugh need @Data_LG2 he knows it better than me use him

OpenStudy (anonymous):

he is way better I told him you need help

OpenStudy (anonymous):

Looks like a conjugate base type of deal or a simple algebra split.

OpenStudy (anonymous):

he is not here so use @jaceypoo they are better at this

OpenStudy (anonymous):

or @heyimrick

OpenStudy (aum):

\( \Large \frac{ e^{2x} }{ 1+e^x} = \frac{ e^{x}e^x }{ 1+e^x} = \frac{ e^{x}(e^x+1-1) }{ 1+e^x} = \\ \Large \frac{ e^{x}(e^x+1) }{ 1+e^x} - \frac{ e^{x} }{ 1+e^x} = e^x - \frac{ e^{x} }{ 1+e^x} \)

OpenStudy (anonymous):

The negative I am looking for is the e^x

OpenStudy (anonymous):

So just use the +1 instead.

OpenStudy (anonymous):

Thank you very much!

OpenStudy (aum):

Pull the negative sign out.

OpenStudy (aum):

You are welcome.

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