What is expand-300(t+2)e^{-t/2}+C ?

The solution to expand-300(t+2)e^{-t/2}+C is -300e^{-t/2}t-600e^{-t/2}+C

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expand-300(t+2)e^{-t/2}+C

expand

- 300 (t + 2) e^{- \frac{t}{2}} + C

- 300 e^{- \frac{t}{2}} t - 600 e^{- \frac{t}{2}} + C

Solution steps

- 300 (t + 2) e^{- \frac{t}{2}} + C

= - 300 e^{- \frac{t}{2}} (t + 2) + C

Expand

- 300 e^{- \frac{t}{2}} (t + 2) : - 300 e^{- \frac{t}{2}} t - 600 e^{- \frac{t}{2}}

= - 300 e^{- \frac{t}{2}} t - 600 e^{- \frac{t}{2}} + C

(2 + y) d x - (3 - x) d y

(- x^{2} + 3 x + 6) + (3 - x) d x

4 (14 x - 4 x ln (2)) d x

e^{3 x} (- 2 e^{- 3 x} + C)

\frac{( a + m ) ( a + n )}{2}

What is expand-300(t+2)e^{-t/2}+C ?
The solution to expand-300(t+2)e^{-t/2}+C is -300e^{-t/2}t-600e^{-t/2}+C