One stratagie you can use is called the big 7
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I am not familiar with Laplace transforms, so my explanation probably won't help, but given that for two Laplace transform

and

, then

Given that

and

So you have

From Table of Laplace Transform, you have

and hence

So you have

.
Hope this helps...
Answer:
this is the answer with steps
hope it helps!
1: x² + 10x + 25
2: x² - x -12
3: -2x² + 10x
4: -2x² + 9x + 5
5: n² - 4
---------------------------
1: x² + 14x + 49
2: x² - 14x + 49
3: 4n² - 20n + 25
4: 4n² + 20n +25
5: you just have to switch the signs