What is expand (0.000033e^t+C)*e^t ?

The solution to expand (0.000033e^t+C)*e^t is 0.000033e^{2t}+e^tC

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expand (0.000033e^t+C)*e^t

expand

(0.000033 e^{t} + C) \cdot e^{t}

0.000033 e^{2 t} + e^{t} C

Solution steps

(0.000033 e^{t} + C) e^{t}

= e^{t} (0.000033 e^{t} + C)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{t}, b = 0.000033 e^{t}, c = C

= e^{t} \cdot 0.000033 e^{t} + e^{t} C

= 0.000033 e^{t} e^{t} + e^{t} C

0.000033 e^{t} e^{t} = 0.000033 e^{2 t}

= 0.000033 e^{2 t} + e^{t} C

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What is expand (0.000033e^t+C)*e^t ?
The solution to expand (0.000033e^t+C)*e^t is 0.000033e^{2t}+e^tC