What is expand (x-4)*e^{(x/5)} ?

The solution to expand (x-4)*e^{(x/5)} is e^{x/5}x-4e^{x/5}

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expand (x-4)*e^{(x/5)}

expand

(x - 4) \cdot e^{(\frac{x}{5})}

e^{\frac{x}{5}} x - 4 e^{\frac{x}{5}}

Solution steps

(x - 4) e^{(\frac{x}{5})}

= e^{(\frac{x}{5})} (x - 4)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{(\frac{x}{5})}, b = x, c = 4

= e^{(\frac{x}{5})} x - e^{(\frac{x}{5})} \cdot 4

= e^{(\frac{x}{5})} x - 4 e^{(\frac{x}{5})}

Remove parentheses:

(a) = a

= e^{\frac{x}{5}} x - 4 e^{\frac{x}{5}}

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What is expand (x-4)*e^{(x/5)} ?
The solution to expand (x-4)*e^{(x/5)} is e^{x/5}x-4e^{x/5}