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

The solution to expand (x+3)(-e^{-x}) is -e^{-x}x-3e^{-x}

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

expand

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

- e^{- x} x - 3 e^{- x}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

a = (- e^{- x}), b = x, c = 3

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

= x (- e^{- x}) + 3 (- e^{- x})

Remove parentheses:

(- a) = - a

= - e^{- x} x - 3 e^{- x}

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