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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

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

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

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Frequently Asked Questions (FAQ)

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