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Popular >

expand 5000(-0.125e^{-0.125x}x+1.75e^{-0.125x})

Solution

expand

5000 (- 0.125 e^{- 0.125 x} x + 1.75 e^{- 0.125 x})

Solution

- 625 e^{- 0.125 x} x + 8750 e^{- 0.125 x}

Solution steps

5000 (- 0.125 e^{- 0.125 x} x + 1.75 e^{- 0.125 x})

Apply the distributive law:

a (b + c) = ab + a c

a = 5000, b = - 0.125 e^{- 0.125 x} x, c = 1.75 e^{- 0.125 x}

= 5000 (- 0.125 e^{- 0.125 x} x) + 5000 \cdot 1.75 e^{- 0.125 x}

Apply minus-plus rules

+ (- a) = - a

= - 5000 \cdot 0.125 e^{- 0.125 x} x + 5000 \cdot 1.75 e^{- 0.125 x}

Simplify

- 5000 \cdot 0.125 e^{- 0.125 x} x + 5000 \cdot 1.75 e^{- 0.125 x} : - 625 e^{- 0.125 x} x + 8750 e^{- 0.125 x}

= - 625 e^{- 0.125 x} x + 8750 e^{- 0.125 x}

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Frequently Asked Questions (FAQ)

What is expand 5000(-0.125e^{-0.125x}x+1.75e^{-0.125x}) ?
The solution to expand 5000(-0.125e^{-0.125x}x+1.75e^{-0.125x}) is -625e^{-0.125x}x+8750e^{-0.125x}