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

The solution to expand (e^{4x}+4)^2 is e^{8x}+8e^{4x}+16

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = e^{4 x}, b = 4

= (e^{4 x})^{2} + 2 e^{4 x} \cdot 4 + 4^{2}

Simplify

(e^{4 x})^{2} + 2 e^{4 x} \cdot 4 + 4^{2} : e^{8 x} + 8 e^{4 x} + 16

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

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What is expand (e^{4x}+4)^2 ?
The solution to expand (e^{4x}+4)^2 is e^{8x}+8e^{4x}+16