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

The solution to expand (e^x)(1/2 e^{-3x}+1/2 e^{3x}) is 1/2 e^{-2x}+1/2 e^{4x}

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

expand

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

\frac{1}{2} e^{- 2 x} + \frac{1}{2} e^{4 x}

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

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

Simplify

\frac{1}{2} e^{- 3 x} (e^{x}) + \frac{1}{2} e^{3 x} (e^{x}) : \frac{1}{2} e^{- 2 x} + \frac{1}{2} e^{4 x}

= \frac{1}{2} e^{- 2 x} + \frac{1}{2} e^{4 x}

\frac{5 x ^{2} + 7 x + 4}{( x + 1 ) ( x ^{2} + 3 x + 3 )}

\frac{e ^{- s - 2} ( s - 2 )}{s ^{2} - 4 s + 3}

(x^{2} + 1) e^{y} d y

(2 \cdot (z - 0.9048)) \cdot x

\frac{( 15.879 ( s + 4.833 ) )}{( s + 76.74 )}

What is expand (e^x)(1/2 e^{-3x}+1/2 e^{3x}) ?
The solution to expand (e^x)(1/2 e^{-3x}+1/2 e^{3x}) is 1/2 e^{-2x}+1/2 e^{4x}