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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

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

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

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