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Popular >

expand 3e^x(e^x+1)

Solution

expand

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

Solution

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = 3 e^{x}, b = e^{x}, c = 1

= 3 e^{x} e^{x} + 3 e^{x} \cdot 1

= 3 e^{x} e^{x} + 3 \cdot 1 \cdot e^{x}

Simplify

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

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

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Frequently Asked Questions (FAQ)

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