zerkratzen
to scratch up
To damage the surface of something with many scratches made by sharp objects.
Pass auf, dass du die neue CD nicht zerkratzt.
Be careful not to scratch up the new CD.

to scratch up
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to scratch up
To damage the surface of something with many scratches made by sharp objects.
Pass auf, dass du die neue CD nicht zerkratzt.
Be careful not to scratch up the new CD.

The prefix 'zer-' is inseparable and is always written together with the verb 'kratzen' (to scratch). Here, 'zer-' intensifies the meaning and implies damage or destruction of the surface.
Wer hat den Holztisch so zerkratzt?
Who scratched up the wooden table like that?
The use of the reflexive pronoun 'sich' changes the meaning. 'Etwas zerkratzen' (to scratch something up) means to damage someone else's surface or an external surface. 'Sich zerkratzen' (to scratch oneself) means to injure one's own skin.
Meine Katze hat die neue Couch zerkratzt.
My cat scratched up the new couch.
Typical objects that get scratched up are delicate surfaces. These include furniture, cars, glasses, eyeglasses, or a phone display, for example.
Ich habe aus Versehen das Display meines Handys mit dem Schlüssel zerkratzt.
I accidentally scratched up my phone display with my key.
to damage
'beschädigen' and 'zerkratzen' both have to do with damage to an object. 'beschädigen' is more general: something may break, work less well, or look worse. 'zerkratzen' is more specific and means scratches on a surface, for example on a car, table, or phone. If you only want to say that something has damage, 'beschädigen' fits. If the damage consists of scratches, 'zerkratzen' is more precise and more natural.

In der Tasche hat der Schlüssel das Display meines Handys zerkratzt.
In my bag, the key scratched up my phone screen.
Hat Herr Lange beim Tragen die neue Lampe beschädigt?
Did Mr. Lange damage the new lamp while carrying it?