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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

A (- 1, 2) Y B (7, - 4)

(- \frac{z}{t ^{2}} + 2 cos (2 t)) d t

(y - 9) - (y + 6 = 4 y)

\frac{( x - y ) ^{2} - z ^{2}}{x + y + z}

\frac{3}{x ( x ^{2} + 1 )}

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