What is expand 2s^2e^{2t}(1-3s^3e^{-3t})+9s^3e^t ?

The solution to expand 2s^2e^{2t}(1-3s^3e^{-3t})+9s^3e^t is 2e^{2t}s^2-6e^{-t}s^5+9s^3e^t

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expand 2s^2e^{2t}(1-3s^3e^{-3t})+9s^3e^t

expand

2 s^{2} e^{2 t} (1 - 3 s^{3} e^{- 3 t}) + 9 s^{3} e^{t}

2 e^{2 t} s^{2} - 6 e^{- t} s^{5} + 9 s^{3} e^{t}

Solution steps

2 s^{2} e^{2 t} (1 - 3 s^{3} e^{- 3 t}) + 9 s^{3} e^{t}

= 2 e^{2 t} s^{2} (1 - 3 e^{- 3 t} s^{3}) + 9 e^{t} s^{3}

Expand

2 s^{2} e^{2 t} (1 - 3 s^{3} e^{- 3 t}) : 2 e^{2 t} s^{2} - 6 e^{- t} s^{5}

= 2 e^{2 t} s^{2} - 6 e^{- t} s^{5} + 9 s^{3} e^{t}

(3 - \frac{x}{47829669})^{20}

e^{x t - t} \cdot (U e^{x t} - Ux t - U)

t (e^{- 3 t} + e^{- 2 t})

5 (- 8 + 3)

What is expand 2s^2e^{2t}(1-3s^3e^{-3t})+9s^3e^t ?
The solution to expand 2s^2e^{2t}(1-3s^3e^{-3t})+9s^3e^t is 2e^{2t}s^2-6e^{-t}s^5+9s^3e^t