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It's impossible to know for sure without seeing the paragraphs, but yes, formal writing is generally done in a "neutral voice," which tends to minimize the impact of individual stylistic difference...
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Source: https://writers.stackexchange.com/a/19567 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#2: Initial revision
It's impossible to know for sure without seeing the paragraphs, but yes, formal writing is generally done in a "neutral voice," which tends to minimize the impact of individual stylistic differences. Of course, a gifted writer can still manage to convey a distinctive authorial voice, even in a formal register, but unless you've striven for that, you probably won't have it. Therefore my best guess, sight unseen, is that the difference between your friend's paragraphs and yours won't be noticeable (unless his are much better written than yours).