What is expand e^{4t}s(t-3) ?

The solution to expand e^{4t}s(t-3) is e^{4t}ts-3e^{4t}s

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expand e^{4t}s(t-3)

expand

e^{4 t} s (t - 3)

e^{4 t} t s - 3 e^{4 t} s

Solution steps

e^{4 t} s (t - 3)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{4 t} s, b = t, c = 3

= e^{4 t} s t - e^{4 t} s \cdot 3

= e^{4 t} t s - 3 e^{4 t} s

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\frac{s + 8}{( s + 3 ) ( s + 6 ) ( s + 10 )}

What is expand e^{4t}s(t-3) ?
The solution to expand e^{4t}s(t-3) is e^{4t}ts-3e^{4t}s