What is expand 1/3 (e^{-x}+2) ?

The solution to expand 1/3 (e^{-x}+2) is 1/3 e^{-x}+2/3

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expand 1/3 (e^{-x}+2)

expand

\frac{1}{3} (e^{- x} + 2)

\frac{1}{3} e^{- x} + \frac{2}{3}

Solution steps

\frac{1}{3} (e^{- x} + 2)

Apply the distributive law:

a (b + c) = ab + a c

a = \frac{1}{3}, b = e^{- x}, c = 2

= \frac{1}{3} e^{- x} + \frac{1}{3} \cdot 2

= \frac{1}{3} e^{- x} + 2 \cdot \frac{1}{3}

2 \cdot \frac{1}{3} = \frac{2}{3}

= \frac{1}{3} e^{- x} + \frac{2}{3}

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(4 + 3 x) x^{3} + e^{3 x} \cdot 3 x^{4} + 4

\frac{4}{( 1 - x ) ^{3}}

What is expand 1/3 (e^{-x}+2) ?
The solution to expand 1/3 (e^{-x}+2) is 1/3 e^{-x}+2/3