What is the Laplace Transform of (t-3)u2(t) - (t-2)u3(t)?

invisible_man
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Compute

L[(t-3)u2(t) - (t-2)u3(t)]

I come up with using unit step function but I don't know how to solve it
 
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Use the fact that anything of the form f(t-a)u(t-a) has a Laplace transform of the form e^-as*F(s)
 
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