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

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

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

expand

(1 - e^{- πjn})^{2}

1 - 2 e^{- πjn} + e^{- 2 πjn}

Solution steps

(1 - e^{- πjn})^{2}

Apply Perfect Square Formula:

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

a = 1, b = e^{- πjn}

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

Simplify

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

= 1 - 2 e^{- πjn} + e^{- 2 πjn}

\frac{d}{d t} ((x) ((x - 1) (1 - 2 x)))

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

ln (x) (x + 2) (x + 1)

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

\frac{15 ( e - 1 )}{2 e}

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