Year 9 Interactive Maths - Second Edition

Factorisation of a Difference of Two Squares

Example 9

Solution:

Taking out a Common Factor

To factorise an expression, take out any common factor; and then use the formula:

Example 10

Solution:

A Calculation Short Cut

Some arithmetic expressions can be evaluated easily using the factorisation of the difference of two squares.

Example 11

Solution:

Key Terms

difference of two squares, DOTS

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 ]