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Popular >

simplify (2te^{2t})e^{-t}

Solution

simplify

(2 t \cdot e^{2 t}) \cdot e^{- t}

Solution

2 e^{t} t

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

= 2 t e^{2 t - t}

Add similar elements:

2 t - t = t

= 2 t e^{t}

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Frequently Asked Questions (FAQ)

What is (2t*e^{2t})*e^{-t} ?
The solution to (2t*e^{2t})*e^{-t} is 2e^tt