What is expand 10000(-0.2e^{-0.2t}t-e^{-0.2t}) ?

The solution to expand 10000(-0.2e^{-0.2t}t-e^{-0.2t}) is -2000e^{-0.2t}t-10000e^{-0.2t}

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expand 10000(-0.2e^{-0.2t}t-e^{-0.2t})

expand

10000 (- 0.2 e^{- 0.2 t} t - e^{- 0.2 t})

- 2000 e^{- 0.2 t} t - 10000 e^{- 0.2 t}

Solution steps

10000 (- 0.2 e^{- 0.2 t} t - e^{- 0.2 t})

Apply the distributive law:

a (b - c) = ab - a c

a = 10000, b = - 0.2 e^{- 0.2 t} t, c = e^{- 0.2 t}

= 10000 (- 0.2 e^{- 0.2 t} t) - 10000 e^{- 0.2 t}

Apply minus-plus rules

+ (- a) = - a

= - 10000 \cdot 0.2 e^{- 0.2 t} t - 10000 e^{- 0.2 t}

Multiply the numbers:

10000 \cdot 0.2 = 2000

= - 2000 e^{- 0.2 t} t - 10000 e^{- 0.2 t}

100 x - 0.5 x^{2} - 60 x - 300

(x - 1) (x - 2 i) (x - 3 i)

(sin (x) - 1) (2 sin (x) - 1)

\frac{( y ^{2} - 1 ) ( 3 x ^{2} + 8 x )}{y}

- (\frac{5 s ^{2} - 2 s + 1}{s ( s + 3 ) ( s - 1 )})

What is expand 10000(-0.2e^{-0.2t}t-e^{-0.2t}) ?
The solution to expand 10000(-0.2e^{-0.2t}t-e^{-0.2t}) is -2000e^{-0.2t}t-10000e^{-0.2t}