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Popular >

expand e^{4t}(-e^{-2t}-2t)+e^{2t}(2t+e^{2t})

Solution

expand

e^{4 t} (- e^{- 2 t} - 2 t) + e^{2 t} (2 t + e^{2 t})

Solution

- e^{2 t} - 2 e^{4 t} t + 2 e^{2 t} t + e^{4 t}

Solution steps

e^{4 t} (- e^{- 2 t} - 2 t) + e^{2 t} (2 t + e^{2 t})

Expand

e^{4 t} (- e^{- 2 t} - 2 t) : - e^{2 t} - 2 e^{4 t} t

= - e^{2 t} - 2 e^{4 t} t + e^{2 t} (2 t + e^{2 t})

Expand

e^{2 t} (2 t + e^{2 t}) : 2 e^{2 t} t + e^{4 t}

= - e^{2 t} - 2 e^{4 t} t + 2 e^{2 t} t + e^{4 t}

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Frequently Asked Questions (FAQ)

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