@prefix concept: <https://w3id.org/kmath/concept/> .
@prefix course: <https://w3id.org/kmath/course/> .
@prefix math: <https://w3id.org/kmath/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix review_status: <https://w3id.org/kmath/review_status/> .
@prefix scheme: <https://w3id.org/kmath/scheme/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix textbook_section: <https://w3id.org/kmath/textbook_section/> .

concept:multiplication_formula a math:Concept ;
    rdfs:label "곱셈 공식"@ko ;
    skos:altLabel "곱셈공식"@ko ;
    skos:broader concept:polynomial_operation ;
    skos:definition "(a + b)² = a² + 2ab + b², (a + b)(a − b) = a² − b²처럼 다항식의 곱을 전개할 때 자주 쓰는 등식으로, 고등학교에서는 세제곱 꼴까지 확장한다."@ko ;
    skos:editorialNote "2026-09-28 개념 모델 정비에서 2022 개정 교육과정 성취기준을 근거로 추가했다. 도메인 전문가 검토가 필요하다."@ko ;
    skos:inScheme scheme:concepts ;
    skos:prefLabel "multiplication formulas"@en,
        "곱셈 공식"@ko ;
    math:introducedIn course:middle_math ;
    math:requires concept:polynomial_operation ;
    math:requiresTransitively concept:algebraic_expression,
        concept:exponent_law,
        concept:integer,
        concept:polynomial,
        concept:polynomial_operation,
        concept:power,
        concept:rational_number ;
    math:reviewStatus review_status:needs_review ;
    math:sourceSection textbook_section:chunjae_hong_polynomial_operations,
        textbook_section:chunjae_jeon_polynomial_operations,
        textbook_section:donga_polynomial_operations,
        textbook_section:jihak_polynomial_operations,
        textbook_section:mirae_polynomial_operations,
        textbook_section:national_curriculum_2022_middle_change_relations,
        textbook_section:visang_polynomial_operations,
        textbook_section:ybm_polynomial_operations ;
    math:taughtIn course:common_math_1,
        course:middle_math .