What is expand (y-1)sin(3t)e^{cos(3t)} ?

The solution to expand (y-1)sin(3t)e^{cos(3t)} is e^{cos(3t)}ysin(3t)-e^{cos(3t)}sin(3t)

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expand (y-1)sin(3t)e^{cos(3t)}

expand

(y - 1) sin (3 t) e^{c o s (3 t)}

e^{c o s (3 t)} y sin (3 t) - e^{c o s (3 t)} sin (3 t)

Solution steps

(y - 1) sin (3 t) e^{c o s (3 t)}

= e^{c o s (3 t)} sin (3 t) (y - 1)

Apply the distributive law:

a (b - c) = ab - a c

a = sin (3 t) e^{c o s (3 t)}, b = y, c = 1

= sin (3 t) e^{c o s (3 t)} y - sin (3 t) e^{c o s (3 t)} \cdot 1

= e^{c o s (3 t)} y sin (3 t) - 1 \cdot e^{c o s (3 t)} sin (3 t)

Multiply:

1 \cdot e^{c o s (3 t)} = e^{c o s (3 t)}

= e^{c o s (3 t)} y sin (3 t) - e^{c o s (3 t)} sin (3 t)

\frac{1}{( s - 4 ) ( s + 6 )}

\frac{2 ( 2 u ^{2} v ^{2} - 1 )}{u}

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

v (1, 2) f (2, - 2)

s (s + \frac{1}{15}) (3 s + 1)

What is expand (y-1)sin(3t)e^{cos(3t)} ?
The solution to expand (y-1)sin(3t)e^{cos(3t)} is e^{cos(3t)}ysin(3t)-e^{cos(3t)}sin(3t)