Year 9 Interactive Maths - Second Edition

Factors by Grouping 'Two and Two'

Now, consider the expression 7x + 14y + bx + 2by.  Clearly, there is no factor common to every
term.  However, it is clear that 7 is a common factor of the first two terms and b is a common factor
of the last two terms.  So, the expression can be grouped into two pairs of two terms as shown.

This factorisation technique is called grouping 'Two and Two'; and it is used to factorise an
expression consisting of four terms.

Example 8

Solution:

Study Another Topic in Chapter 8: Factors

[ Factors of a Number ] [ Highest Common Factor of Algebraic Expressions ] [ Factorisation using the Common Factor ] [ Factors by Grouping 'Two and Two' ] [ Factorisation of a Difference of Two Squares ] [ Factorisation of Quadratic Trinomials ] [ Cross-Multiplication Method ] [ Further Quadratic Trinomials ] [ Use of Perfect Squares ] [ Symbols ] [ Index ]