What is expand-48e^{2t}*U(t-4) ?

The solution to expand-48e^{2t}*U(t-4) is -48e^{2t}tU+192e^{2t}U

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expand-48e^{2t}*U(t-4)

expand

- 48 e^{2 t} \cdot U (t - 4)

- 48 e^{2 t} t U + 192 e^{2 t} U

Solution steps

- 48 e^{2 t} U (t - 4)

Apply the distributive law:

a (b - c) = ab - a c

a = - 48 e^{2 t} U, b = t, c = 4

= - 48 e^{2 t} U t - (- 48 e^{2 t} U) \cdot 4

Apply minus-plus rules

- (- a) = a

= - 48 e^{2 t} t U + 48 \cdot 4 e^{2 t} U

Multiply the numbers:

48 \cdot 4 = 192

= - 48 e^{2 t} t U + 192 e^{2 t} U

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What is expand-48e^{2t}*U(t-4) ?
The solution to expand-48e^{2t}*U(t-4) is -48e^{2t}tU+192e^{2t}U