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Popular >

expand e^t(1+e^2)

Solution

expand

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

Solution

e^{t} + e^{2 + t}

Solution steps

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

= (1 + e^{2}) e^{t}

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Simplify

1 \cdot e^{t} + e^{2} e^{t} : e^{t} + e^{2 + t}

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

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Frequently Asked Questions (FAQ)

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