College Algebra / Unit 2 Alg 104 short lesson, about 20 seconds
The Canceled-Term Error
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The idea
The canceled-term error strikes matching terms across a fraction bar; only factors cancel, and (x + 3)/3 is not x + 1.
In practice
At x = 3: (3 + 3)/3 is 2, while x + 1 gives 4. The canceled 3 was a term, not a factor.
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