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

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

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

expand

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

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

Solution steps

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

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

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

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

\frac{100 ( 2400 s + 2500 )}{6 s + 2.5}

\frac{12 ( 17 z - 5 )}{( 3 z - 1 ) ( 4 z - 1 )}

\frac{1}{s ^{2} ( s ^{2} + 49 )}

(2 x i)^{2}

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