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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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