What is expand (1-e^{-3x})^2 ?

The solution to expand (1-e^{-3x})^2 is 1-2e^{-3x}+e^{-6x}

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expand (1-e^{-3x})^2

expand

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

1 - 2 e^{- 3 x} + e^{- 6 x}

Solution steps

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

Apply Perfect Square Formula:

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

a = 1, b = e^{- 3 x}

= 1^{2} - 2 \cdot 1 \cdot e^{- 3 x} + (e^{- 3 x})^{2}

Simplify

1^{2} - 2 \cdot 1 \cdot e^{- 3 x} + (e^{- 3 x})^{2} : 1 - 2 e^{- 3 x} + e^{- 6 x}

= 1 - 2 e^{- 3 x} + e^{- 6 x}

\frac{( x + 3 ) ^{2}}{x - 3}

\frac{d}{d y} ((x) (x^{3} + 3 y^{3} + 5 x + y))

e^{- s t} \cdot t \cdot (e^{i t} + e^{- i t})

2 π (\frac{9 π}{4} - 36)

\frac{32 ( x + 1 )}{27}

What is expand (1-e^{-3x})^2 ?
The solution to expand (1-e^{-3x})^2 is 1-2e^{-3x}+e^{-6x}