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Popular >

expand 580(e^{-x/(90)}-(e^{-x/(90)}x)/(90))

Solution

expand

580 (e^{- \frac{x}{90}} - \frac{e ^{- \frac{x}{90}} x}{90})

Solution

580 e^{- \frac{x}{90}} - \frac{58 e ^{- \frac{x}{90}} x}{9}

Solution steps

580 (e^{- \frac{x}{90}} - \frac{e ^{- \frac{x}{90}} x}{90})

Apply the distributive law:

a (b - c) = ab - a c

a = 580, b = e^{- \frac{x}{90}}, c = \frac{e ^{- \frac{x}{90}} x}{90}

= 580 e^{- \frac{x}{90}} - 580 \cdot \frac{e ^{- \frac{x}{90}} x}{90}

580 \cdot \frac{e ^{- \frac{x}{90}} x}{90} = \frac{58 e ^{- \frac{x}{90}} x}{9}

= 580 e^{- \frac{x}{90}} - \frac{58 e ^{- \frac{x}{90}} x}{9}

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Frequently Asked Questions (FAQ)

What is expand 580(e^{-x/(90)}-(e^{-x/(90)}x)/(90)) ?
The solution to expand 580(e^{-x/(90)}-(e^{-x/(90)}x)/(90)) is 580e^{-x/(90)}-(58e^{-x/(90)}x)/9