What is expand x*(1-e^{-1/x}) ?

The solution to expand x*(1-e^{-1/x}) is x-e^{-1/x}x

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expand x*(1-e^{-1/x})

expand

x \cdot (1 - e^{- \frac{1}{x}})

x - e^{- \frac{1}{x}} x

Solution steps

x (1 - e^{- \frac{1}{x}})

Apply the distributive law:

a (b - c) = ab - a c

a = x, b = 1, c = e^{- \frac{1}{x}}

= x \cdot 1 - x e^{- \frac{1}{x}}

= 1 \cdot x - e^{- \frac{1}{x}} x

Multiply:

1 \cdot x = x

= x - e^{- \frac{1}{x}} x

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What is expand x*(1-e^{-1/x}) ?
The solution to expand x*(1-e^{-1/x}) is x-e^{-1/x}x