What is expand 3(-0.4e^{-0.4x}+0.6e^{-0.6x}) ?

The solution to expand 3(-0.4e^{-0.4x}+0.6e^{-0.6x}) is -1.2e^{-0.4x}+1.8e^{-0.6x}

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expand 3(-0.4e^{-0.4x}+0.6e^{-0.6x})

expand

3 (- 0.4 e^{- 0.4 x} + 0.6 e^{- 0.6 x})

- 1.2 e^{- 0.4 x} + 1.8 e^{- 0.6 x}

Solution steps

3 (- 0.4 e^{- 0.4 x} + 0.6 e^{- 0.6 x})

Apply the distributive law:

a (b + c) = ab + a c

a = 3, b = - 0.4 e^{- 0.4 x}, c = 0.6 e^{- 0.6 x}

= 3 (- 0.4 e^{- 0.4 x}) + 3 \cdot 0.6 e^{- 0.6 x}

Apply minus-plus rules

+ (- a) = - a

= - 3 \cdot 0.4 e^{- 0.4 x} + 3 \cdot 0.6 e^{- 0.6 x}

Simplify

- 3 \cdot 0.4 e^{- 0.4 x} + 3 \cdot 0.6 e^{- 0.6 x} : - 1.2 e^{- 0.4 x} + 1.8 e^{- 0.6 x}

= - 1.2 e^{- 0.4 x} + 1.8 e^{- 0.6 x}

(x^{2} - 4) (x - 2)

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\frac{3 ( - 3 - x )}{4}

(- 1 - i)^{15}

2 (16 x^{4} - 7 2^{2} = 81)

What is expand 3(-0.4e^{-0.4x}+0.6e^{-0.6x}) ?
The solution to expand 3(-0.4e^{-0.4x}+0.6e^{-0.6x}) is -1.2e^{-0.4x}+1.8e^{-0.6x}