What is expand (e^x)/((e^x+1)^3) ?

The solution to expand (e^x)/((e^x+1)^3) is (e^x)/(e^{3x)+3e^{2x}+3e^x+1}

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expand (e^x)/((e^x+1)^3)

expand

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

\frac{e ^{x}}{e ^{3 x} + 3 e ^{2 x} + 3 e ^{x} + 1}

Solution steps

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

(e^{x} + 1)^{3} = e^{3 x} + 3 e^{2 x} + 3 e^{x} + 1

= \frac{e ^{x}}{e ^{3 x} + 3 e ^{2 x} + 3 e ^{x} + 1}

(32 x^{2} - 35 x = 49) (4 x - 8)

- 4 ln (x - 2) + 3 (1 - x)

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

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

\frac{( - 3 x - 8 ) ( x - 1 )}{9}

What is expand (e^x)/((e^x+1)^3) ?
The solution to expand (e^x)/((e^x+1)^3) is (e^x)/(e^{3x)+3e^{2x}+3e^x+1}