What is expand e^{2t}t^2U(t-3) ?

The solution to expand e^{2t}t^2U(t-3) is e^{2t}t^3U-3e^{2t}t^2U

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expand e^{2t}t^2U(t-3)

expand

e^{2 t} t^{2} U (t - 3)

e^{2 t} t^{3} U - 3 e^{2 t} t^{2} U

Solution steps

e^{2 t} t^{2} U (t - 3)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{2 t} t^{2} U, b = t, c = 3

= e^{2 t} t^{2} U t - e^{2 t} t^{2} U \cdot 3

= e^{2 t} t^{2} t U - 3 e^{2 t} t^{2} U

e^{2 t} t^{2} t U = e^{2 t} t^{3} U

= e^{2 t} t^{3} U - 3 e^{2 t} t^{2} U

(4 + 3 sin (θ))^{2}

(t + e^{2 t})^{3}

\frac{2 s + 1}{( s ^{2} + 1 ) ( s - 1 ) ( s - 3 )}

ln (\frac{y}{1 - y})

What is expand e^{2t}t^2U(t-3) ?
The solution to expand e^{2t}t^2U(t-3) is e^{2t}t^3U-3e^{2t}t^2U