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i know you can do that, but, for example, (x-1)²/(x-1) isn’t the same as (x-1) because the former is undefined at x=1

Number 2 can be simplified to 3/4ab

Number 3 can be simplified to (x+3)/(x-4)

did you read my comment.

Yes and it is equal to x-1 (as long as x≠1)

and “equal (as long as x≠1)” isn’t the same as just being equal

It is it's "root", it's "zero", and to answer your question, yes, it is not the same

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