What is expand sinh(8(t-1))u(t+2) ?

The solution to expand sinh(8(t-1))u(t+2) is tusinh(8(t-1))+2usinh(8(t-1))

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expand sinh(8(t-1))u(t+2)

expand

sinh (8 (t - 1)) u (t + 2)

t u sinh (8 (t - 1)) + 2 u sinh (8 (t - 1))

Solution steps

sinh (8 (t - 1)) u (t + 2)

= u sinh (8 (t - 1)) (t + 2)

Apply the distributive law:

a (b + c) = ab + a c

u sinh (8 (t - 1)) (t + 2) = u sinh (8 (t - 1)) t + u sinh (8 (t - 1)) \cdot 2

= u sinh (8 (t - 1)) t + u sinh (8 (t - 1)) \cdot 2

= t u sinh (8 (t - 1)) + 2 u sinh (8 (t - 1))

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What is expand sinh(8(t-1))u(t+2) ?
The solution to expand sinh(8(t-1))u(t+2) is tusinh(8(t-1))+2usinh(8(t-1))