How to simplify?

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

1 Answer
Tazwar Sikder
Jun 18, 2018

#frac(2 e^(x))((e^(x) + 1)^(2))#

Explanation:

We have: #frac(e^(x) (e^(x) + 1) - (e^(x) - 1) e^(x))((e^(x) + 1)^(2))#

#= frac(e^(x) ((e^(x) + 1) - (e^(x) - 1)))((e^(x) + 1)^(2))#

#= frac(e^(x) (e^(x) + 1 - e^(x) + 1))((e^(x) + 1)^(2))#

#= frac(2 e^(x))((e^(x) + 1)^(2))#

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