What is expand 6000(-(e^{-x/(50)}x)/(50)+e^{-x/(50)}) ?

The solution to expand 6000(-(e^{-x/(50)}x)/(50)+e^{-x/(50)}) is -120e^{-x/(50)}x+6000e^{-x/(50)}

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expand 6000(-(e^{-x/(50)}x)/(50)+e^{-x/(50)})

expand

6000 (- \frac{e ^{- \frac{x}{50}} x}{50} + e^{- \frac{x}{50}})

- 120 e^{- \frac{x}{50}} x + 6000 e^{- \frac{x}{50}}

Solution steps

6000 (- \frac{e ^{- \frac{x}{50}} x}{50} + e^{- \frac{x}{50}})

Apply the distributive law:

a (b + c) = ab + a c

a = 6000, b = - \frac{e ^{- \frac{x}{50}} x}{50}, c = e^{- \frac{x}{50}}

= 6000 (- \frac{e ^{- \frac{x}{50}} x}{50}) + 6000 e^{- \frac{x}{50}}

Apply minus-plus rules

+ (- a) = - a

= - 6000 \cdot \frac{e ^{- \frac{x}{50}} x}{50} + 6000 e^{- \frac{x}{50}}

6000 \cdot \frac{e ^{- \frac{x}{50}} x}{50} = 120 e^{- \frac{x}{50}} x

= - 120 e^{- \frac{x}{50}} x + 6000 e^{- \frac{x}{50}}

L t (e^{t} + e^{2 t})^{2}

(5 - 6 i) i (- 19 + 2 k \cdot π)

(5 x - 5)^{2}

9 x 3 + 54 x 2 + 36 x - 8

\frac{e ^{i (k + 1) θ} - 1}{e ^{i θ} - 1}

What is expand 6000(-(e^{-x/(50)}x)/(50)+e^{-x/(50)}) ?
The solution to expand 6000(-(e^{-x/(50)}x)/(50)+e^{-x/(50)}) is -120e^{-x/(50)}x+6000e^{-x/(50)}