What is expand L{sin(6t)}(s-2) ?

The solution to expand L{sin(6t)}(s-2) is Lssin(6t)-2Lsin(6t)

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expand L{sin(6t)}(s-2)

expand

L {sin (6 t)} (s - 2)

L s sin (6 t) - 2 L sin (6 t)

Solution steps

L {sin (6 t)} (s - 2)

Apply the distributive law:

a (b - c) = ab - a c

a = L {sin (6 t)}, b = s, c = 2

= L {sin (6 t)} s - L {sin (6 t)} \cdot 2

= L s {sin (6 t)} - 2 L {sin (6 t)}

Remove parentheses:

(a) = a

= L s sin (6 t) - 2 L sin (6 t)

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What is expand L{sin(6t)}(s-2) ?
The solution to expand L{sin(6t)}(s-2) is Lssin(6t)-2Lsin(6t)