How to simplify?

Question

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

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Answer 1 · 2018-06-18T07:07:22

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

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

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

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

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