What is expand (e^{8x}+2)^2 ?

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

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expand (e^{8x}+2)^2

expand

(e^{8 x} + 2)^{2}

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

Solution steps

(e^{8 x} + 2)^{2}

Apply Perfect Square Formula:

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

a = e^{8 x}, b = 2

= (e^{8 x})^{2} + 2 e^{8 x} \cdot 2 + 2^{2}

Simplify

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

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

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