What is expand e^{2-t}U(t-1) ?

The solution to expand e^{2-t}U(t-1) is e^{2-t}tU-e^{2-t}U

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expand e^{2-t}U(t-1)

expand

e^{2 - t} U (t - 1)

e^{2 - t} t U - e^{2 - t} U

Solution steps

e^{2 - t} U (t - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{2 - t} U, b = t, c = 1

= e^{2 - t} U t - e^{2 - t} U \cdot 1

= e^{2 - t} t U - 1 \cdot e^{2 - t} U

Multiply:

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

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

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What is expand e^{2-t}U(t-1) ?
The solution to expand e^{2-t}U(t-1) is e^{2-t}tU-e^{2-t}U