What is expand (e^{-n})/((1+e^{-n))^2} ?

The solution to expand (e^{-n})/((1+e^{-n))^2} is (e^{-n})/(1+2e^{-n)+e^{-2n}}

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expand (e^{-n})/((1+e^{-n))^2}

expand

\frac{e ^{- n}}{( 1 + e ^{- n} ) ^{2}}

\frac{e ^{- n}}{1 + 2 e ^{- n} + e ^{- 2 n}}

Solution steps

\frac{e ^{- n}}{( 1 + e ^{- n} ) ^{2}}

(1 + e^{- n})^{2} = 1 + 2 e^{- n} + e^{- 2 n}

= \frac{e ^{- n}}{1 + 2 e ^{- n} + e ^{- 2 n}}

(e^{u} - e^{- u})^{2}

\frac{0.825}{( 0.1 s + 1 ) ( 48.07 s ^{2} + 14.37 s + 1 )}

\frac{x ^{5} + y ^{2} - 5}{( 1 + x ) ^{3}}

\frac{6}{( x + 4 ) ^{2}}

\frac{2 x ^{3} + 6 s + 2}{s ^{2} ( s + 1 ) ( s + 2 )}

What is expand (e^{-n})/((1+e^{-n))^2} ?
The solution to expand (e^{-n})/((1+e^{-n))^2} is (e^{-n})/(1+2e^{-n)+e^{-2n}}