What is expand (-1/6-e^{3x})4 ?

The solution to expand (-1/6-e^{3x})4 is -2/3-4e^{3x}

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expand (-1/6-e^{3x})4

expand

(- \frac{1}{6} - e^{3 x}) 4

- \frac{2}{3} - 4 e^{3 x}

Solution steps

(- \frac{1}{6} - e^{3 x}) \cdot 4

= 4 (- \frac{1}{6} - e^{3 x})

Apply the distributive law:

a (b - c) = ab - a c

a = 4, b = - \frac{1}{6}, c = e^{3 x}

= 4 (- \frac{1}{6}) - 4 e^{3 x}

Apply minus-plus rules

+ (- a) = - a

= - 4 \cdot \frac{1}{6} - 4 e^{3 x}

4 \cdot \frac{1}{6} = \frac{2}{3}

= - \frac{2}{3} - 4 e^{3 x}

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

\frac{2 ^{n - 1}}{n ^{2} ( n + 1 )}

(e^{x} - 2)^{3}

\frac{d}{d y} ((z) (z^{3} - x y + y z + y^{3} - 2))

\frac{1 + sin ( x ) ( 1 - sin ( x ) )}{cos ( x )}

What is expand (-1/6-e^{3x})4 ?
The solution to expand (-1/6-e^{3x})4 is -2/3-4e^{3x}