What is expand (e^x-e^{-5x})^2 ?

The solution to expand (e^x-e^{-5x})^2 is e^{2x}-2e^{-4x}+e^{-10x}

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expand (e^x-e^{-5x})^2

expand

(e^{x} - e^{- 5 x})^{2}

e^{2 x} - 2 e^{- 4 x} + e^{- 10 x}

Solution steps

(e^{x} - e^{- 5 x})^{2}

Apply Perfect Square Formula:

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

a = e^{x}, b = e^{- 5 x}

= (e^{x})^{2} - 2 e^{x} e^{- 5 x} + (e^{- 5 x})^{2}

Simplify

(e^{x})^{2} - 2 e^{x} e^{- 5 x} + (e^{- 5 x})^{2} : e^{2 x} - 2 e^{- 4 x} + e^{- 10 x}

= e^{2 x} - 2 e^{- 4 x} + e^{- 10 x}

\frac{1}{x ( x + b )}

e^{2 x} \cdot 2 (e^{x} + e^{- x})

\frac{( x + Δ x ) ^{3}}{Δ x}

\frac{( - 2 x + 4 ) ^{7}}{( 3 x - 5 ) ^{5}}

x d y - 4 (y + x^{6}) d x

What is expand (e^x-e^{-5x})^2 ?
The solution to expand (e^x-e^{-5x})^2 is e^{2x}-2e^{-4x}+e^{-10x}