Mathematics — first biennium · Lesson
Before simplifying an algebraic fraction, find values that make the denominator zero: domain restrictions do not disappear after cancellation.
Prerequisites: Complete factorization and monomial division
Goal: Find domain restrictions and simplify algebraic fractions using appropriate factorization.
In this lesson: Find domain restrictions and simplify algebraic fractions using appropriate factorization.
New concept: Domain restrictions exclude every value that makes an original denominator zero. Simplification may cancel a factor, but it cannot make a value allowed again if it was excluded in the original expression.
How to proceed: Write the domain restriction before cancelling; then factor and cancel factors only, never terms inside a sum.
You can already assume: Complete factorization and monomial division.
Completed exercises: 0/5 · Correct on first attempt: 0
Write the domain restriction before cancelling; then factor and cancel factors only, never terms inside a sum.
Data / situation: (x²−16)/(x−4)
ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.
Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.