What is expand (2e^x)/((1+e^x)^2) ?

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

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expand (2e^x)/((1+e^x)^2)

expand

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

\frac{2 e ^{x}}{1 + 2 e ^{x} + e ^{2 x}}

Solution steps

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

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

= \frac{2 e ^{x}}{1 + 2 e ^{x} + e ^{2 x}}

60 x (x - 1) (\frac{4}{x - 1} - \frac{4}{x} = \frac{1}{60})

ln (x + 1) (x - 1)^{2}

\frac{( x - 3 ) ^{5}}{6}

(a + \frac{2}{3} b x)^{3}

\frac{( x - 2 ) ^{2}}{4}

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