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

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

expand

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

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}

\frac{4 ( cos ( x ) - x sin ( x ) )}{sin ( y ) + y cos ( y )}

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

(5, - 2) y (- 1, 2)

(x + Δ x - 1)^{2}

(cot (θ) + 1) (csc (θ) + sec (θ))

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