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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

\frac{2}{( x + 4 ) ^{2}}

- (x - x^{2} + y^{2})^{2} d y

\frac{1 - x}{( 2 x - 1 ) ( 4 - x )}

(- 2)^{2}

\frac{x}{12} - 1.5 y

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