Factorisation of Algebraic Expressions
Gr 10

The Grade 10 Factorisation module is one of the most important building blocks in senior-phase algebra. This chapter develops learners’ ability to break algebraic expressions into their simplest factors, a skill essential for simplifying expressions, solving equations, and working with algebraic fractions in later grades.

Lessons cover all key factorisation techniques required in Grade 10: common factors, grouping, difference of two squares, perfect square trinomials, and factorising general trinomials. Students learn how to recognise patterns, choose the correct method, and check their results for accuracy. The module also reinforces the connection between factorisation and the expansion of expressions, helping learners understand how the two processes relate.

By the end of this chapter, learners will be able to factorise a wide range of algebraic expressions confidently, apply the correct technique in different situations, and use factorisation as a foundation for solving equations and manipulating more complex algebraic structures in Grades 11 and 12.