What is expand (e^{x/(10)}-e^{-x/(10)})^2 ?

The solution to expand (e^{x/(10)}-e^{-x/(10)})^2 is e^{x/5}-2+e^{-x/5}

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expand (e^{x/(10)}-e^{-x/(10)})^2

expand

(e^{\frac{x}{10}} - e^{- \frac{x}{10}})^{2}

e^{\frac{x}{5}} - 2 + e^{- \frac{x}{5}}

Solution steps

(e^{\frac{x}{10}} - e^{- \frac{x}{10}})^{2}

Apply Perfect Square Formula:

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

a = e^{\frac{x}{10}}, b = e^{- \frac{x}{10}}

= (e^{\frac{x}{10}})^{2} - 2 e^{\frac{x}{10}} e^{- \frac{x}{10}} + (e^{- \frac{x}{10}})^{2}

Simplify

(e^{\frac{x}{10}})^{2} - 2 e^{\frac{x}{10}} e^{- \frac{x}{10}} + (e^{- \frac{x}{10}})^{2} : e^{\frac{x}{5}} - 2 + e^{- \frac{x}{5}}

= e^{\frac{x}{5}} - 2 + e^{- \frac{x}{5}}

2 (x (x + 2))

(e^{i z} - e^{- i z})^{3}

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

\frac{( x ^{2} + 1 )}{x ( x + 1 ) ( x + 2 )}

\frac{x ^{3}}{( x ^{2} + 1 ) ( x ^{4} - x ^{2} + 1 )}

What is expand (e^{x/(10)}-e^{-x/(10)})^2 ?
The solution to expand (e^{x/(10)}-e^{-x/(10)})^2 is e^{x/5}-2+e^{-x/5}