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

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

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

expand

e^{t - 2} u (t - 2)

e^{t - 2} t u - 2 e^{t - 2} u

Solution steps

e^{t - 2} u (t - 2)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{t - 2} u, b = t, c = 2

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

= e^{t - 2} t u - 2 e^{t - 2} u

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