What is expand (e^{x/(150)}-e^{-x/(150)})^2 ?

The solution to expand (e^{x/(150)}-e^{-x/(150)})^2 is e^{x/(75)}-2+e^{-x/(75)}

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expand (e^{x/(150)}-e^{-x/(150)})^2

expand

(e^{\frac{x}{150}} - e^{- \frac{x}{150}})^{2}

e^{\frac{x}{75}} - 2 + e^{- \frac{x}{75}}

Solution steps

(e^{\frac{x}{150}} - e^{- \frac{x}{150}})^{2}

Apply Perfect Square Formula:

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

a = e^{\frac{x}{150}}, b = e^{- \frac{x}{150}}

= (e^{\frac{x}{150}})^{2} - 2 e^{\frac{x}{150}} e^{- \frac{x}{150}} + (e^{- \frac{x}{150}})^{2}

Simplify

(e^{\frac{x}{150}})^{2} - 2 e^{\frac{x}{150}} e^{- \frac{x}{150}} + (e^{- \frac{x}{150}})^{2} : e^{\frac{x}{75}} - 2 + e^{- \frac{x}{75}}

= e^{\frac{x}{75}} - 2 + e^{- \frac{x}{75}}

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What is expand (e^{x/(150)}-e^{-x/(150)})^2 ?
The solution to expand (e^{x/(150)}-e^{-x/(150)})^2 is e^{x/(75)}-2+e^{-x/(75)}