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

The solution to expand (e^{3x}-4)^2 is e^{6x}-8e^{3x}+16

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

expand

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

e^{6 x} - 8 e^{3 x} + 16

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(e^{3 x})^{2} - 2 e^{3 x} \cdot 4 + 4^{2} : e^{6 x} - 8 e^{3 x} + 16

= e^{6 x} - 8 e^{3 x} + 16

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6000 (- \frac{e ^{- \frac{x}{50}} x}{50} + e^{- \frac{x}{50}})

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What is expand (e^{3x}-4)^2 ?
The solution to expand (e^{3x}-4)^2 is e^{6x}-8e^{3x}+16