What is expand 20(e^{-2t}sin(t)-e^{-2t}*t*cos(t)) ?

The solution to expand 20(e^{-2t}sin(t)-e^{-2t}*t*cos(t)) is 20e^{-2t}sin(t)-20e^{-2t}tcos(t)

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expand 20(e^{-2t}sin(t)-e^{-2t}tcos(t))

expand

20 (e^{- 2 t} sin (t) - e^{- 2 t} \cdot t \cdot cos (t))

20 e^{- 2 t} sin (t) - 20 e^{- 2 t} t cos (t)

Solution steps

20 (e^{- 2 t} sin (t) - e^{- 2 t} t cos (t))

Apply the distributive law:

a (b - c) = ab - a c

a = 20, b = e^{- 2 t} sin (t), c = e^{- 2 t} t cos (t)

= 20 e^{- 2 t} sin (t) - 20 e^{- 2 t} t cos (t)

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\frac{30 ( s + 2 ) ( s + 3 )}{( s + 4 ) ( s + 5 ) ( s + 6 )}

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\frac{980 π + 114 ( 2 + 3 )}{14 π}

(- 2 x + sy (x, s, o) = o) \cdot s

What is expand 20(e^{-2t}sin(t)-e^{-2t}*t*cos(t)) ?
The solution to expand 20(e^{-2t}sin(t)-e^{-2t}*t*cos(t)) is 20e^{-2t}sin(t)-20e^{-2t}tcos(t)