Year 10 Interactive Maths - Second Edition

The Difference of Two Squares

This formula is used to factorise some algebraic expressions.

Example 5

Solution:

Taking out a Common Factor

To factorise an algebraic expression, always look for a common factor. If there is a common factor, then take it out and use the difference of two squares formula.

Example 6

Solution:

Example 7

Solution:

Note the use of brackets.

Key Terms

difference of two squares (DOTS)

Study Another Topic in Chapter 10: Factorisation Techniques

[ Highest Common Factor ] [ Factorisation using the Common Factor ] [ The Difference of Two Squares ] [ Quadratic Trinomials ] [ Cross-Multiplication Method ] [ Factors of Quadratic Trinomials of the Type ax² + bx + c ] [ Use of Perfect Squares ] [ Use of Substitution ] [ Use of a Common Factor ] [ Factorisation of Four Terms ] [ Grouping 'Three and One' ] [ Real Numbers ] [ Completing the Square ] [ Problem Solving Unit ] [ Projects ] [ Symbols ] [ Index ]