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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(- e^{2} + e^{2}) + (4 e - 2 e 2) i

\frac{ab}{( s ^{2} + a ^{2} ) ( s ^{2} + b ^{2} )}

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

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

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

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