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

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

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

expand

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

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

Solution steps

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

Apply the distributive law:

a (b - c) = ab - a c

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

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

(z - i) (z + i)^{2}

(a - b c) (d e - f)

(i + x y)^{2}

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

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

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