Last Updated Sep 27, 2025

Grouping Simplified Revision Notes for Leaving Cert Mathematics

Revision notes with simplified explanations to understand Grouping quickly and effectively.

Learn about Factorisation for your Leaving Cert Mathematics Exam. This Revision Note includes a summary of Factorisation for easy recall in your Mathematics exam

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Grouping

Grouping involves arranging and grouping terms in a way that reveals common factors, which can then be factored out.

Let's consider the expression :

$$9a^2-6ab+12ac-8bc$$

We can group the $c$ terms together.

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

Factorise using HCF :

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

We are now left with two terms, both of these terms share a common factor : $(3a-2b)$

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

As an exercise, expand these brackets out to see if we resolve the original expression.

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