What is expand (-e^tt+2e^t)/((1-t)^2) ?

The solution to expand (-e^tt+2e^t)/((1-t)^2) is (-e^tt+2e^t)/(1-2t+t^2)

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expand (-e^tt+2e^t)/((1-t)^2)

expand

\frac{- e ^{t} t + 2 e ^{t}}{( 1 - t ) ^{2}}

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

Solution steps

\frac{- e ^{t} t + 2 e ^{t}}{( 1 - t ) ^{2}}

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

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

- \frac{( 3 \cdot F \cdot ( a \cdot x ^{n} + α \cdot n - α ) )}{( 5 \cdot x ^{n} )}

\frac{15 s}{( s ^{2} + 25 ) ^{2}}

\frac{1}{( s - 3 ) ( s ^{2} + 9 )}

\frac{- 15 - 2 h}{3 ( 2 + k )}

(1 + e^{2 x})^{4}

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