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

The solution to expand y(-x-e^{y/x}) is -yx-e^{y/x}y

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

Apply minus-plus rules

+ (- a) = - a

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

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