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

The solution to expand-3(x+yt)e^{-3t}+2(y)e^{-3t} is -3e^{-3t}x-3e^{-3t}yt+2ye^{-3t}

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expand-3(x+yt)e^{-3t}+2(y)e^{-3t}

expand

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

- 3 e^{- 3 t} x - 3 e^{- 3 t} y t + 2 y e^{- 3 t}

Solution steps

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

= - 3 e^{- 3 t} (x + y t) + 2 e^{- 3 t} (y)

Expand

- 3 e^{- 3 t} (x + y t) : - 3 e^{- 3 t} x - 3 e^{- 3 t} y t

= - 3 e^{- 3 t} x - 3 e^{- 3 t} y t + 2 (y) e^{- 3 t}

Remove parentheses:

(a) = a

= - 3 e^{- 3 t} x - 3 e^{- 3 t} y t + 2 y e^{- 3 t}

(e^{x} + 3) (sin (x) + ln (x))

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

2 ab c (a + b + c)^{3}

\frac{( x - 1 ) ^{2}}{( x + 1 ) ( x + 2 )}

\frac{( n ( n + 1 ) ( n + 2 ) )}{6}

What is expand-3(x+yt)e^{-3t}+2(y)e^{-3t} ?
The solution to expand-3(x+yt)e^{-3t}+2(y)e^{-3t} is -3e^{-3t}x-3e^{-3t}yt+2ye^{-3t}