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Popular >

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

Solution

expand

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

Solution

2 e^{2 x} + 4 e^{x}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Simplify

2 e^{x} e^{x} + 2 \cdot 2 e^{x} : 2 e^{2 x} + 4 e^{x}

= 2 e^{2 x} + 4 e^{x}

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Frequently Asked Questions (FAQ)

What is expand 2e^x(e^x+2) ?
The solution to expand 2e^x(e^x+2) is 2e^{2x}+4e^x