What is expand e^x(-1/3 cos(3x)+C) ?

The solution to expand e^x(-1/3 cos(3x)+C) is -1/3 e^xcos(3x)+e^xC

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expand e^x(-1/3 cos(3x)+C)

expand

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

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

Solution steps

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Apply minus-plus rules

+ (- a) = - a

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

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What is expand e^x(-1/3 cos(3x)+C) ?
The solution to expand e^x(-1/3 cos(3x)+C) is -1/3 e^xcos(3x)+e^xC