What is expand 4*(t-1)*e^{-0.5*t}+8 ?

The solution to expand 4*(t-1)*e^{-0.5*t}+8 is 4e^{-0.5t}t-4e^{-0.5t}+8

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expand 4(t-1)e^{-0.5*t}+8

expand

4 \cdot (t - 1) \cdot e^{- 0.5 \cdot t} + 8

4 e^{- 0.5 t} t - 4 e^{- 0.5 t} + 8

Solution steps

4 (t - 1) e^{- 0.5 t} + 8

= 4 e^{- 0.5 t} (t - 1) + 8

Expand

4 e^{- 0.5 t} (t - 1) : 4 e^{- 0.5 t} t - 4 e^{- 0.5 t}

= 4 e^{- 0.5 t} t - 4 e^{- 0.5 t} + 8

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What is expand 4*(t-1)*e^{-0.5*t}+8 ?
The solution to expand 4*(t-1)*e^{-0.5*t}+8 is 4e^{-0.5t}t-4e^{-0.5t}+8