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Popular >

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

Solution

expand

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

Solution

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

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

Simplify

1 \cdot e^{\frac{x}{y}} - e^{\frac{x}{y}} \frac{x}{y} : e^{\frac{x}{y}} - \frac{e ^{\frac{x}{y}} x}{y}

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

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Frequently Asked Questions (FAQ)

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