What is expand (5t^2e^{-8t}-e^{7t}cos(sqrt(5)t))(s) ?

The solution to expand (5t^2e^{-8t}-e^{7t}cos(sqrt(5)t))(s) is 5e^{-8t}t^2s-e^{7t}scos(sqrt(5)t)

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expand (5t^2e^{-8t}-e^{7t}cos(sqrt(5)t))(s)

expand

(5 t^{2} e^{- 8 t} - e^{7 t} cos (5 t)) (s)

5 e^{- 8 t} t^{2} s - e^{7 t} s cos (5 t)

Solution steps

(5 t^{2} e^{- 8 t} - e^{7 t} cos (5 t)) (s)

= (s) (5 e^{- 8 t} t^{2} - e^{7 t} cos (5 t))

Apply the distributive law:

a (b - c) = ab - a c

a = (s), b = 5 t^{2} e^{- 8 t}, c = e^{7 t} cos (5 t)

= (s) \cdot 5 t^{2} e^{- 8 t} - (s) e^{7 t} cos (5 t)

= 5 e^{- 8 t} t^{2} (s) - e^{7 t} (s) cos (5 t)

Remove parentheses:

(a) = a

= 5 e^{- 8 t} t^{2} s - e^{7 t} s cos (5 t)

(\frac{b}{a} (x - d) - f - c)^{3}

\frac{11}{- 2}

(a s + b) (s^{2} + s + \frac{5}{4})

(5 + 7) (- 7 + 2)

(x + y = 10,) - (z + y = 7)

What is expand (5t^2e^{-8t}-e^{7t}cos(sqrt(5)t))(s) ?
The solution to expand (5t^2e^{-8t}-e^{7t}cos(sqrt(5)t))(s) is 5e^{-8t}t^2s-e^{7t}scos(sqrt(5)t)