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Popular >

expand e^{2x}(e^x+1)

Solution

expand

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

Solution

e^{3 x} + e^{2 x}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Simplify

e^{x} e^{2 x} + 1 \cdot e^{2 x} : e^{3 x} + e^{2 x}

= e^{3 x} + e^{2 x}

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Frequently Asked Questions (FAQ)

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