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

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

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

expand

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

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

Solution steps

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

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

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

(cos (t) + sin (t))^{4}

- \frac{1}{( s + 2 ) ( s + 1 ) ( s - 1 )}

\frac{\frac{d}{d x} ( x - 5 )}{( x + 2 ) ^{2}}

1 - cos (x) (1 - cos (x))

\frac{1}{2}

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