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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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

\frac{6 ( P - u w )}{L ( 4 P - 3 u w )}

\frac{3 s + e ^{- s + 1} + 9}{( s - 1 ) ( s + 2 )}

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N e^{i x} (2 e^{i x} + 1)

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