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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

y (I n y^{2} - V y + 1) V d x + x d V - V y d y

\frac{4 ( - y + 9 )}{5}

(x^{2} y - 2 x) d x + (y - 2 x) d y

a (4, - 6) b (3, 8)

x^{2} (c_{1} (2 ln (x) + 3))

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