What is expand 200(1-(0.75x)(e^{-0.23x})) ?

The solution to expand 200(1-(0.75x)(e^{-0.23x})) is 200-150e^{-0.23x}x

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expand 200(1-(0.75x)(e^{-0.23x}))

expand

200 (1 - (0.75 x) (e^{- 0.23 x}))

200 - 150 e^{- 0.23 x} x

Solution steps

200 (1 - (0.75 x) (e^{- 0.23 x}))

= 200 (1 - (e^{- 0.23 x}) (0.75 x))

Apply the distributive law:

a (b - c) = ab - a c

a = 200, b = 1, c = (0.75 x) (e^{- 0.23 x})

= 200 \cdot 1 - 200 (0.75 x) (e^{- 0.23 x})

= 200 \cdot 1 - 200 (e^{- 0.23 x}) (0.75 x)

Simplify

200 \cdot 1 - 200 (e^{- 0.23 x}) (0.75 x) : 200 - 150 e^{- 0.23 x} x

= 200 - 150 e^{- 0.23 x} x

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What is expand 200(1-(0.75x)(e^{-0.23x})) ?
The solution to expand 200(1-(0.75x)(e^{-0.23x})) is 200-150e^{-0.23x}x