What is expand e^{2t}(sin(2t)-1) ?

The solution to expand e^{2t}(sin(2t)-1) is e^{2t}sin(2t)-e^{2t}

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expand e^{2t}(sin(2t)-1)

expand

e^{2 t} (sin (2 t) - 1)

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

Solution steps

e^{2 t} (sin (2 t) - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = e^{2 t}, b = sin (2 t), c = 1

= e^{2 t} sin (2 t) - e^{2 t} \cdot 1

= e^{2 t} sin (2 t) - 1 \cdot e^{2 t}

Multiply:

1 \cdot e^{2 t} = e^{2 t}

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

x d x - (1 + x^{2}) y d y

\frac{x ^{2} + 4 x - 1}{( x + 2 ) ^{2}}

(x + 3) (x + 2)

(2 + 5 x)^{2}

\frac{4 x ^{3} - 21 x ^{2} - 10 x + 25}{x ^{2} ( x - 5 ) ^{2}}

What is expand e^{2t}(sin(2t)-1) ?
The solution to expand e^{2t}(sin(2t)-1) is e^{2t}sin(2t)-e^{2t}