What is expand e^{5t}u(-t+4) ?

The solution to expand e^{5t}u(-t+4) is -e^{5t}tu+4e^{5t}u

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expand e^{5t}u(-t+4)

expand

e^{5 t} u (- t + 4)

- e^{5 t} t u + 4 e^{5 t} u

Solution steps

e^{5 t} u (- t + 4)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{5 t} u, b = - t, c = 4

= e^{5 t} u (- t) + e^{5 t} u \cdot 4

Apply minus-plus rules

+ (- a) = - a

= - e^{5 t} t u + 4 e^{5 t} u

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What is expand e^{5t}u(-t+4) ?
The solution to expand e^{5t}u(-t+4) is -e^{5t}tu+4e^{5t}u