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

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

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

expand

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

e^{x} - 2 + e^{- x}

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{\frac{x}{2}}, b = e^{- \frac{x}{2}}

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

Simplify

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

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

5 δ (x - 5) (y)

\frac{55}{( x + 7 ) ^{2}}

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35000 (1 - (1 + 234)^{- 25333})

(x + \frac{y}{3})^{12}

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