What is expand+(9t^2e^{-4t}-3)y ?

The solution to expand+(9t^2e^{-4t}-3)y is 9e^{-4t}t^2y-3y

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expand+(9t^2e^{-4t}-3)y

expand

+ (9 t^{2} e^{- 4 t} - 3) y

9 e^{- 4 t} t^{2} y - 3 y

Solution steps

(9 t^{2} e^{- 4 t} - 3) y

= y (9 e^{- 4 t} t^{2} - 3)

Apply the distributive law:

a (b - c) = ab - a c

a = y, b = 9 t^{2} e^{- 4 t}, c = 3

= y \cdot 9 t^{2} e^{- 4 t} - y \cdot 3

= 9 e^{- 4 t} t^{2} y - 3 y

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\frac{1}{( s ( s ^{2} + 2 a s + w ^{2} ) )}

x (d y - y d x)

\frac{( x - 4 ) ^{3}}{x ^{2} - 8 x}

What is expand+(9t^2e^{-4t}-3)y ?
The solution to expand+(9t^2e^{-4t}-3)y is 9e^{-4t}t^2y-3y