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

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

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

sinh ((x - b) (x - c)) (2 x - c - b)

(x + 1) \cdot (x + 2)

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

(\frac{x}{6} + 1)^{4}

- 3 (8 x^{2} - 8 x + 1) (2 x - 1)^{3} (x^{2} - x)^{\frac{1}{2}}

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