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

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

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

expand

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

3 e^{2 t} t + 6 e^{2 t}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

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