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

The solution to expand e^{1/n}(e-1) is e^{1+1/n}-e^{1/n}

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expand e^{1/n}(e-1)

expand

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

e^{1 + \frac{1}{n}} - e^{\frac{1}{n}}

Solution steps

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

= (e - 1) e^{\frac{1}{n}}

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

Simplify

e e^{\frac{1}{n}} - 1 \cdot e^{\frac{1}{n}} : e^{1 + \frac{1}{n}} - e^{\frac{1}{n}}

= e^{1 + \frac{1}{n}} - e^{\frac{1}{n}}

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