What is expand e^{t-6}u(t-6) ?

The solution to expand e^{t-6}u(t-6) is e^{t-6}tu-6e^{t-6}u

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expand e^{t-6}u(t-6)

expand

e^{t - 6} u (t - 6)

e^{t - 6} t u - 6 e^{t - 6} u

Solution steps

e^{t - 6} u (t - 6)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{t - 6} u, b = t, c = 6

= e^{t - 6} u t - e^{t - 6} u \cdot 6

= e^{t - 6} t u - 6 e^{t - 6} u

\frac{5}{( x + 2 ) ( x - 3 )}

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\frac{2 s - 7}{( s - 4 ) ( s + 5 )}

What is expand e^{t-6}u(t-6) ?
The solution to expand e^{t-6}u(t-6) is e^{t-6}tu-6e^{t-6}u