What is expand (e^{-t}(1-2t))/((1-t)(1-4t)) ?

The solution to expand (e^{-t}(1-2t))/((1-t)(1-4t)) is (e^{-t}-2e^{-t}t)/(1-5t+4t^2)

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expand (e^{-t}(1-2t))/((1-t)(1-4t))

expand

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

\frac{e ^{- t} - 2 e ^{- t} t}{1 - 5 t + 4 t ^{2}}

Solution steps

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

Expand

(1 - t) (1 - 4 t) : 1 - 5 t + 4 t^{2}

= \frac{e ^{- t} ( - 2 t + 1 )}{1 - 5 t + 4 t ^{2}}

Expand

e^{- t} (1 - 2 t) : e^{- t} - 2 e^{- t} t

= \frac{e ^{- t} - 2 e ^{- t} t}{1 - 5 t + 4 t ^{2}}

(x - 3) \circ (5 x^{2} - 3)

lo g_{10} (2) (b^{3} c)

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

(3 + j)^{5}

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

What is expand (e^{-t}(1-2t))/((1-t)(1-4t)) ?
The solution to expand (e^{-t}(1-2t))/((1-t)(1-4t)) is (e^{-t}-2e^{-t}t)/(1-5t+4t^2)