What is expand 6*(-3e^{6t}cos(3t)+9e^{6t}sin(3t)) ?

The solution to expand 6*(-3e^{6t}cos(3t)+9e^{6t}sin(3t)) is -18e^{6t}cos(3t)+54e^{6t}sin(3t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 6*(-3e^{6t}cos(3t)+9e^{6t}sin(3t))

expand

6 \cdot (- 3 e^{6 t} cos (3 t) + 9 e^{6 t} sin (3 t))

- 18 e^{6 t} cos (3 t) + 54 e^{6 t} sin (3 t)

Solution steps

6 (- 3 e^{6 t} cos (3 t) + 9 e^{6 t} sin (3 t))

Apply the distributive law:

a (b + c) = ab + a c

a = 6, b = - 3 e^{6 t} cos (3 t), c = 9 e^{6 t} sin (3 t)

= 6 (- 3 e^{6 t} cos (3 t)) + 6 \cdot 9 e^{6 t} sin (3 t)

Apply minus-plus rules

+ (- a) = - a

= - 6 \cdot 3 e^{6 t} cos (3 t) + 6 \cdot 9 e^{6 t} sin (3 t)

Simplify

- 6 \cdot 3 e^{6 t} cos (3 t) + 6 \cdot 9 e^{6 t} sin (3 t) : - 18 e^{6 t} cos (3 t) + 54 e^{6 t} sin (3 t)

= - 18 e^{6 t} cos (3 t) + 54 e^{6 t} sin (3 t)

- 2 (3 x - y + 4)^{2}

\frac{4}{( s ^{2} + s + 4 ) s}

\frac{24 x ^{3} + 36}{( 2 x + 3 ) ^{4}}

(10 e - 3 x) 3

1 - x + (x + 1) e^{- 2 x}

What is expand 6*(-3e^{6t}cos(3t)+9e^{6t}sin(3t)) ?
The solution to expand 6*(-3e^{6t}cos(3t)+9e^{6t}sin(3t)) is -18e^{6t}cos(3t)+54e^{6t}sin(3t)