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

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

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

expand

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

e^{2 u} - 2 + e^{- 2 u}

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{u}, b = e^{- u}

= (e^{u})^{2} - 2 e^{u} e^{- u} + (e^{- u})^{2}

Simplify

(e^{u})^{2} - 2 e^{u} e^{- u} + (e^{- u})^{2} : e^{2 u} - 2 + e^{- 2 u}

= e^{2 u} - 2 + e^{- 2 u}

\frac{0.825}{( 0.1 s + 1 ) ( 48.07 s ^{2} + 14.37 s + 1 )}

\frac{x ^{5} + y ^{2} - 5}{( 1 + x ) ^{3}}

\frac{6}{( x + 4 ) ^{2}}

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(x) (1 - 2 x)

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