lesson
Recognizing Structure in Rational Expressions
Identify common factors in the numerator and denominator of a rational expression to simplify it.
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Advanced Structural Rewriting and Synthesis
6 lessons
Goal
Recognize hidden structure—quadratic forms, higher-degree polynomials, and rational expressions—and combine multiple structural patterns to rewrite complex expressions equivalently.
6 lessons
0 of 6 done
- Identifying Hidden Quadratic StructureUp next
- Rewriting to Reveal Factoring OpportunitiesNot started yet
- Recognizing Structure in Rational ExpressionsYou are here
- Using Structure to Factor Higher-Degree PolynomialsNot started yet
- Matching Expressions to Their Factored FormsNot started yet
- Rewriting Expressions with Multiple Structural FeaturesNot started yet
Learning standards covered
HSA.SSE.A.2Common Core State Standards · Math · 9th GradeUse the structure of an expression to identify ways to rewrite it. For example, see x4 - y4 as (x2)2 - (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 - y2)(x2 + y2).
Open Global Standard:OGM.10.ALG.1
OGM.10.ALG.1