What is expand 2sin(3t)(u(t-2)) ?

The solution to expand 2sin(3t)(u(t-2)) is 2tusin(3t)-4usin(3t)

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expand 2sin(3t)(u(t-2))

expand

2 sin (3 t) (u (t - 2))

2 t u sin (3 t) - 4 u sin (3 t)

Solution steps

2 sin (3 t) (u (t - 2))

Remove parentheses:

(a) = a

= 2 sin (3 t) u (t - 2)

= 2 u sin (3 t) (t - 2)

Apply the distributive law:

a (b - c) = ab - a c

a = 2 sin (3 t) u, b = t, c = 2

= 2 sin (3 t) u t - 2 sin (3 t) u \cdot 2

= 2 t u sin (3 t) - 2 \cdot 2 u sin (3 t)

Multiply the numbers:

2 \cdot 2 = 4

= 2 t u sin (3 t) - 4 u sin (3 t)

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\frac{( 2 + x ) ^{6}}{64}

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What is expand 2sin(3t)(u(t-2)) ?
The solution to expand 2sin(3t)(u(t-2)) is 2tusin(3t)-4usin(3t)