What is expand e^{t+1}u(t+1) ?

The solution to expand e^{t+1}u(t+1) is e^{t+1}tu+e^{t+1}u

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expand e^{t+1}u(t+1)

expand

e^{t + 1} u (t + 1)

e^{t + 1} t u + e^{t + 1} u

Solution steps

e^{t + 1} u (t + 1)

Apply the distributive law:

a (b + c) = ab + a c

a = e^{t + 1} u, b = t, c = 1

= e^{t + 1} u t + e^{t + 1} u \cdot 1

= e^{t + 1} t u + 1 \cdot e^{t + 1} u

Multiply:

1 \cdot e^{t + 1} = e^{t + 1}

= e^{t + 1} t u + e^{t + 1} u

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What is expand e^{t+1}u(t+1) ?
The solution to expand e^{t+1}u(t+1) is e^{t+1}tu+e^{t+1}u