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

Solución

desarrollar

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

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

Pasos de solución

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

Poner los parentesis utilizando:

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

e x p an d t (t^{2} + 3 t + 2)

e x p an d (sec (x) - tan (x)) cot (x) - csc (x)

e x p an d \frac{24}{( 1 0 ^{2} )}

e x p an d ln (\frac{x - 92}{x})

e x p an d \frac{( x + 11 )}{( x - 3 ) ( 2 x + 1 )}