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)

Apply minus-plus rules

- (- a) = a

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

x^{\frac{4}{5}} (5 x - 20)^{2}

((\frac{3590675}{13422})^{\frac{1}{16}} - 1) \cdot 100

(x - n) (\frac{1}{n} + n)

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

(x^{2} + 1) arccot (x)

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)