Take another look at the sentence:

On vacation, Patrick can trust neither his roommates nor the veterinary staff with Squeeze, his 9-foot albino python, so he hides his beloved reptile in a suitcase and sneaks him into hotel rooms.

When you use neither ... nor, you must have two equal grammatical items. After neither, notice that you have a noun phrase, his roommates. And after nor, you have a second noun phrase, the veterinary staff.

In addition, the sentence lists two actions, hides and sneaks, but both are simple present tense verbs, which maintains the parallel structure.

Go to the next sentence.

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