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Popular >

expand e^{2t}(e^t-1)

Solution

expand

e^{2 t} (e^{t} - 1)

Solution

e^{3 t} - e^{2 t}

Solution steps

e^{2 t} (e^{t} - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{2 t}, b = e^{t}, c = 1

= e^{2 t} e^{t} - e^{2 t} \cdot 1

= e^{t} e^{2 t} - 1 \cdot e^{2 t}

Simplify

e^{t} e^{2 t} - 1 \cdot e^{2 t} : e^{3 t} - e^{2 t}

= e^{3 t} - e^{2 t}

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Frequently Asked Questions (FAQ)

What is expand e^{2t}(e^t-1) ?
The solution to expand e^{2t}(e^t-1) is e^{3t}-e^{2t}