What is expand e^{4t}*(3e^{-4t}+2e^{-6t}) ?

The solution to expand e^{4t}*(3e^{-4t}+2e^{-6t}) is 3+2e^{-2t}

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expand e^{4t}*(3e^{-4t}+2e^{-6t})

expand

e^{4 t} \cdot (3 e^{- 4 t} + 2 e^{- 6 t})

3 + 2 e^{- 2 t}

Solution steps

e^{4 t} (3 e^{- 4 t} + 2 e^{- 6 t})

Apply the distributive law:

a (b + c) = ab + a c

a = e^{4 t}, b = 3 e^{- 4 t}, c = 2 e^{- 6 t}

= e^{4 t} \cdot 3 e^{- 4 t} + e^{4 t} \cdot 2 e^{- 6 t}

= 3 e^{4 t} e^{- 4 t} + 2 e^{4 t} e^{- 6 t}

Simplify

3 e^{4 t} e^{- 4 t} + 2 e^{4 t} e^{- 6 t} : 3 + 2 e^{- 2 t}

= 3 + 2 e^{- 2 t}

\frac{d}{d t} ((x) (k (a - x) (b - x)))

2 (4 + 510)

(0.01515 + 0.216 i) \cdot (81, 68 - 3811 i)

3 (705 x^{2} - 4814 x + 729)

\frac{d}{d x} ((x - 1) e^{- x}) + 2

What is expand e^{4t}*(3e^{-4t}+2e^{-6t}) ?
The solution to expand e^{4t}*(3e^{-4t}+2e^{-6t}) is 3+2e^{-2t}