What is expand e^t(cos(4t)-2sin(4t)) ?

The solution to expand e^t(cos(4t)-2sin(4t)) is e^tcos(4t)-2e^tsin(4t)

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expand e^t(cos(4t)-2sin(4t))

expand

e^{t} (cos (4 t) - 2 sin (4 t))

e^{t} cos (4 t) - 2 e^{t} sin (4 t)

Solution steps

e^{t} (cos (4 t) - 2 sin (4 t))

Apply the distributive law:

a (b - c) = ab - a c

a = e^{t}, b = cos (4 t), c = 2 sin (4 t)

= e^{t} cos (4 t) - e^{t} \cdot 2 sin (4 t)

= e^{t} cos (4 t) - 2 e^{t} sin (4 t)

\frac{( x + y ) ^{2}}{x}

\frac{e ^{- 1.5 s}}{s ( s + 1 )}

\frac{2 s + 3}{( s + 1 ) ( s + 2 )}

\frac{z - 3}{( z - 1 ) z - 3}

\frac{4 ( - y + 280 )}{3}

What is expand e^t(cos(4t)-2sin(4t)) ?
The solution to expand e^t(cos(4t)-2sin(4t)) is e^tcos(4t)-2e^tsin(4t)