What is expand (x^4e^x)/((e^x-1)^2) ?

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

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expand (x^4e^x)/((e^x-1)^2)

expand

\frac{x ^{4} e ^{x}}{( e ^{x} - 1 ) ^{2}}

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

Solution steps

\frac{x ^{4} e ^{x}}{( e ^{x} - 1 ) ^{2}}

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

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

\frac{1}{( 3 x - 2 ) 2 d x}

(e - 14)^{2}

\frac{6 ( 3 - 2 )}{π}

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

\frac{- x ^{2} + 14 x - 36}{( x ^{2} - 36 ) ^{2}}

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