What is expand e^{3t-3}h(t-1) ?

The solution to expand e^{3t-3}h(t-1) is e^{3t-3}th-e^{3t-3}h

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expand e^{3t-3}h(t-1)

expand

e^{3 t - 3} h (t - 1)

e^{3 t - 3} t h - e^{3 t - 3} h

Solution steps

e^{3 t - 3} h (t - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{3 t - 3} h, b = t, c = 1

= e^{3 t - 3} h t - e^{3 t - 3} h \cdot 1

= e^{3 t - 3} t h - 1 \cdot e^{3 t - 3} h

Multiply:

1 \cdot e^{3 t - 3} = e^{3 t - 3}

= e^{3 t - 3} t h - e^{3 t - 3} h

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What is expand e^{3t-3}h(t-1) ?
The solution to expand e^{3t-3}h(t-1) is e^{3t-3}th-e^{3t-3}h