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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

Multiply:

1 \cdot x = x

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

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Frequently Asked Questions (FAQ)

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