What is expand 16e^{4x}(1+e^{4x}) ?

The solution to expand 16e^{4x}(1+e^{4x}) is 16e^{4x}+16e^{8x}

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expand 16e^{4x}(1+e^{4x})

expand

16 e^{4 x} (1 + e^{4 x})

16 e^{4 x} + 16 e^{8 x}

Solution steps

16 e^{4 x} (1 + e^{4 x})

Apply the distributive law:

a (b + c) = ab + a c

a = 16 e^{4 x}, b = 1, c = e^{4 x}

= 16 e^{4 x} \cdot 1 + 16 e^{4 x} e^{4 x}

= 16 \cdot 1 \cdot e^{4 x} + 16 e^{4 x} e^{4 x}

Simplify

16 \cdot 1 \cdot e^{4 x} + 16 e^{4 x} e^{4 x} : 16 e^{4 x} + 16 e^{8 x}

= 16 e^{4 x} + 16 e^{8 x}

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What is expand 16e^{4x}(1+e^{4x}) ?
The solution to expand 16e^{4x}(1+e^{4x}) is 16e^{4x}+16e^{8x}