Common Algebra Mistakes
Example: Improper Cancellation

The Goal

Simplify the rational expression:

goal


The Mistake

Find the algebra mistake:

mistake


Need a hint? Look carefully at the red part of the algebra:

mistake


The Correction

correction


An Explanation

Any quantity to be canceled must be a common factor of the entire numerator and the entire denominator. The numerator and denominator have no common factors, so this expression cannot be simplified.

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