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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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