How do I remove scratches off a plastic phone case?

So I bought this hard plastic back cover case for my phone and I accidentally dropped it and it got a huge scratch on it and now it ruined and I cant

So I bought this hard plastic back cover case for my phone and I accidentally dropped it and it got a huge scratch on it and now it ruined and I can't return it. Is there a way to remove it without damaging the image on the case itself?

or:So I bought this hard plastic back cover case for my phone and I accidentally dropped it and it got a huge scratch on it and now it ruined and I can't return it. Is there a way to remove it without damaging the image on the case itself?

or:Try getting a tooth brush (that no one uses, of course!) and put some toothpaste on it (not a lot!) and brush it over the scratch.

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