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

The solution to expand (1-e^{-2x})^2 is 1-2e^{-2x}+e^{-4x}

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

expand

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

1 - 2 e^{- 2 x} + e^{- 4 x}

Solution steps

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

Apply Perfect Square Formula:

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

a = 1, b = e^{- 2 x}

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

Simplify

1^{2} - 2 \cdot 1 \cdot e^{- 2 x} + (e^{- 2 x})^{2} : 1 - 2 e^{- 2 x} + e^{- 4 x}

= 1 - 2 e^{- 2 x} + e^{- 4 x}

\frac{8 x ( x - 6 )}{( x + 2 ) ( x + 9 )}

(x - 1) \cdot ln ∣ x - 1 ∣

3 x^{5} + (5 π - 20) x^{3} + (60 - 15 π) x

8 [c (x - c)^{2}]

a (3, - 4) + b (- 2, 6) - c (0, - 8)

What is expand (1-e^{-2x})^2 ?
The solution to expand (1-e^{-2x})^2 is 1-2e^{-2x}+e^{-4x}