What is expand e^{4x}(e^{2x}+3) ?

The solution to expand e^{4x}(e^{2x}+3) is e^{6x}+3e^{4x}

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expand e^{4x}(e^{2x}+3)

expand

e^{4 x} (e^{2 x} + 3)

e^{6 x} + 3 e^{4 x}

Solution steps

e^{4 x} (e^{2 x} + 3)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{4 x}, b = e^{2 x}, c = 3

= e^{4 x} e^{2 x} + e^{4 x} \cdot 3

= e^{4 x} e^{2 x} + 3 e^{4 x}

e^{4 x} e^{2 x} = e^{6 x}

= e^{6 x} + 3 e^{4 x}

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What is expand e^{4x}(e^{2x}+3) ?
The solution to expand e^{4x}(e^{2x}+3) is e^{6x}+3e^{4x}