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## Homework Statement

How can I annihilate the following ?

4e

^{-2t}*cos(2t)

## Homework Equations

## The Attempt at a Solution

I know that if I want to annihilate e

^{-t}

it would be (D-1) and to annihilate cos(2t) it would be (D

^{2}+2

^{2})

but what happens if they are multiplied ?

how do I annihilate this ?

I tried something and I'm not sure it's correct but I got

(D

^{2}+4)/(D-2)

?