What is expand (e^{-x}+7)(3e^{3x}) ?

The solution to expand (e^{-x}+7)(3e^{3x}) is 3e^{2x}+21e^{3x}

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expand (e^{-x}+7)(3e^{3x})

expand

(e^{- x} + 7) (3 e^{3 x})

3 e^{2 x} + 21 e^{3 x}

Solution steps

(e^{- x} + 7) (3 e^{3 x})

Apply the distributive law:

a (b + c) = ab + a c

a = (3 e^{3 x}), b = e^{- x}, c = 7

= (3 e^{3 x}) e^{- x} + (3 e^{3 x}) \cdot 7

= e^{- x} (3 e^{3 x}) + 7 (3 e^{3 x})

Simplify

e^{- x} (3 e^{3 x}) + 7 (3 e^{3 x}) : 3 e^{2 x} + 21 e^{3 x}

= 3 e^{2 x} + 21 e^{3 x}

\frac{x ^{2} + 14}{( x - 4 ) ( x + 1 )}

\frac{1}{( s + 1 ) ( s - 3 )}

(x + y + 4) d x - (x - y - 6) d y

\frac{9}{( 2 x + 1 ) ^{2}}

(x^{3} + 3 x y^{2} + 3 y^{2}) d y

What is expand (e^{-x}+7)(3e^{3x}) ?
The solution to expand (e^{-x}+7)(3e^{3x}) is 3e^{2x}+21e^{3x}