What is expand e^{t/2}*u*(t-3) ?

The solution to expand e^{t/2}*u*(t-3) is e^{t/2}tu-3e^{t/2}u

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expand e^{t/2}u(t-3)

expand

e^{\frac{t}{2}} \cdot u \cdot (t - 3)

e^{\frac{t}{2}} t u - 3 e^{\frac{t}{2}} u

Solution steps

e^{\frac{t}{2}} u (t - 3)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{\frac{t}{2}} u, b = t, c = 3

= e^{\frac{t}{2}} u t - e^{\frac{t}{2}} u \cdot 3

= e^{\frac{t}{2}} t u - 3 e^{\frac{t}{2}} u

(0.3 x - 0.01 y = 2.4) (100)

x + 5 (x + 2)

(cos (2 t) + 3 cos (t))^{2}

(- (2, 4) - (2, - 6)) w

(s + s^{'})^{12}

What is expand e^{t/2}*u*(t-3) ?
The solution to expand e^{t/2}*u*(t-3) is e^{t/2}tu-3e^{t/2}u