What is expand (12e^{-2x})/((1+e^{-2x))^2} ?

The solution to expand (12e^{-2x})/((1+e^{-2x))^2} is (12e^{-2x})/(1+2e^{-2x)+e^{-4x}}

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expand (12e^{-2x})/((1+e^{-2x))^2}

expand

\frac{12 e ^{- 2 x}}{( 1 + e ^{- 2 x} ) ^{2}}

\frac{12 e ^{- 2 x}}{1 + 2 e ^{- 2 x} + e ^{- 4 x}}

Solution steps

\frac{12 e ^{- 2 x}}{( 1 + e ^{- 2 x} ) ^{2}}

(1 + e^{- 2 x})^{2} = 1 + 2 e^{- 2 x} + e^{- 4 x}

= \frac{12 e ^{- 2 x}}{1 + 2 e ^{- 2 x} + e ^{- 4 x}}

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

in t er sec (c) (1, - 3)

\frac{4 x}{( 1 - x ) ^{4}}

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

\frac{1 - a - ( - 1 + a ) ^{2} - 4 b}{2} - 3

What is expand (12e^{-2x})/((1+e^{-2x))^2} ?
The solution to expand (12e^{-2x})/((1+e^{-2x))^2} is (12e^{-2x})/(1+2e^{-2x)+e^{-4x}}