What is expand 23(-0.4e^{-0.4x}+5.6e^{-5.6x}) ?

The solution to expand 23(-0.4e^{-0.4x}+5.6e^{-5.6x}) is -9.2e^{-0.4x}+128.8e^{-5.6x}

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expand 23(-0.4e^{-0.4x}+5.6e^{-5.6x})

expand

23 (- 0.4 e^{- 0.4 x} + 5.6 e^{- 5.6 x})

- 9.2 e^{- 0.4 x} + 128.8 e^{- 5.6 x}

Solution steps

23 (- 0.4 e^{- 0.4 x} + 5.6 e^{- 5.6 x})

Apply the distributive law:

a (b + c) = ab + a c

a = 23, b = - 0.4 e^{- 0.4 x}, c = 5.6 e^{- 5.6 x}

= 23 (- 0.4 e^{- 0.4 x}) + 23 \cdot 5.6 e^{- 5.6 x}

Apply minus-plus rules

+ (- a) = - a

= - 23 \cdot 0.4 e^{- 0.4 x} + 23 \cdot 5.6 e^{- 5.6 x}

Simplify

- 23 \cdot 0.4 e^{- 0.4 x} + 23 \cdot 5.6 e^{- 5.6 x} : - 9.2 e^{- 0.4 x} + 128.8 e^{- 5.6 x}

= - 9.2 e^{- 0.4 x} + 128.8 e^{- 5.6 x}

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What is expand 23(-0.4e^{-0.4x}+5.6e^{-5.6x}) ?
The solution to expand 23(-0.4e^{-0.4x}+5.6e^{-5.6x}) is -9.2e^{-0.4x}+128.8e^{-5.6x}