What is expand 10(2-e^{-2x}) ?

The solution to expand 10(2-e^{-2x}) is 20-10e^{-2x}

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expand 10(2-e^{-2x})

expand

10 (2 - e^{- 2 x})

20 - 10 e^{- 2 x}

Solution steps

10 (2 - e^{- 2 x})

Apply the distributive law:

a (b - c) = ab - a c

a = 10, b = 2, c = e^{- 2 x}

= 10 \cdot 2 - 10 e^{- 2 x}

Multiply the numbers:

10 \cdot 2 = 20

= 20 - 10 e^{- 2 x}

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What is expand 10(2-e^{-2x}) ?
The solution to expand 10(2-e^{-2x}) is 20-10e^{-2x}