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

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

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

expand

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

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

Solution steps

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

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

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

\frac{( 3 + 4 i ) ^{4}}{( 2 - i ) ^{10}}

\frac{( x + 1 ) ^{2} ( x - 3 )}{( x - 4 ) ^{3} ( x + 5 )}

(x + 2 - 2) \cdot (x + 2 + 2)

\frac{- 2 x ^{2} + 10 x + 4}{( x - 1 ) ( x ^{2} + 2 x + 9 )}

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

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