Last updated on Oct 23, 2026

Grouping (Leaving Cert Mathematics): Flashcards

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Grouping

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What is grouping in factorisation?

Arranging terms to reveal common factors

Factor by grouping: $9a^2-6ab+12ac-8bc$ - Step 1?

Group terms: $9a^2-6ab+(12ac-8bc)$

Factor groups in $9a^2-6ab+(12ac-8bc)$

$3a(3a-2b)+4c(3a-2b)$

After factoring HCF from groups

$3a(3a-2b)+4c(3a-2b)$

Common factor in $3a(3a-2b)+4c(3a-2b)$ ?

$(3a-2b)$

Final form: Factor $9a^2-6ab+12ac-8bc$

$(3a-2b)(3a+4c)$

How to verify factorisation?

Expand brackets to check against original

Purpose of grouping terms?

To reveal common factors

Explore Leaving Cert Mathematics Revision Notes by Topics

The Basics

Algebraic Fractions

Factorisation

Explore Leaving Cert Mathematics Model Answers by Topics

The Basics

Algebraic Fractions

Factorisation

Explore Leaving Cert Mathematics Quizzes by Topics

The Basics

Algebraic Fractions

Factorisation

Explore Leaving Cert Mathematics Exam Questions by Topics

The Basics

Algebraic Fractions

Factorisation

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