What is expand e^{2x}(cos(x)-sin(x)) ?

The solution to expand e^{2x}(cos(x)-sin(x)) is e^{2x}cos(x)-e^{2x}sin(x)

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expand e^{2x}(cos(x)-sin(x))

expand

e^{2 x} (cos (x) - sin (x))

e^{2 x} cos (x) - e^{2 x} sin (x)

Solution steps

e^{2 x} (cos (x) - sin (x))

Apply the distributive law:

a (b - c) = ab - a c

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

= e^{2 x} cos (x) - e^{2 x} sin (x)

\frac{d ^{4}}{d x ^{4}} ((y) (\frac{3}{x ^{2}} - \frac{x ^{2}}{3}))

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

\frac{( x ^{2} - 5 ) ^{3}}{125}

4 sin (\frac{π}{2} (x - 3)) + 8

2 (t^{3} + 2 t + 4)^{2}

What is expand e^{2x}(cos(x)-sin(x)) ?
The solution to expand e^{2x}(cos(x)-sin(x)) is e^{2x}cos(x)-e^{2x}sin(x)