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

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

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

expand

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

e^{- 2 s} - 2 e^{- s} + 1

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{- s}, b = 1

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

Simplify

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

= e^{- 2 s} - 2 e^{- s} + 1

(2 lo g_{n} (x) + y)^{2}

(\frac{1}{1 - x})^{3}

2 e^{2 (\frac{3}{5} + 1)}

\frac{s}{( s + 2 ) ^{2} ( s ^{2} + 9 )}

\frac{25 ( x - 2 )}{58}

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