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

The solution to expand (e^{2t}-e^{-2t})^2 is e^{4t}-2+e^{-4t}

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

expand

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

e^{4 t} - 2 + e^{- 4 t}

Solution steps

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

Apply Perfect Square Formula:

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

a = e^{2 t}, b = e^{- 2 t}

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

Simplify

(e^{2 t})^{2} - 2 e^{2 t} e^{- 2 t} + (e^{- 2 t})^{2} : e^{4 t} - 2 + e^{- 4 t}

= e^{4 t} - 2 + e^{- 4 t}

3^{4}

lo g_{10} (x^{5} y^{- 8})

b^{2} (b^{\frac{1}{2}} - b^{\frac{1}{4}})

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f (x, y) 3 y (\frac{x ^{3}}{2} - 1)

What is expand (e^{2t}-e^{-2t})^2 ?
The solution to expand (e^{2t}-e^{-2t})^2 is e^{4t}-2+e^{-4t}