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Year 10 Interactive Maths - Second Edition


The Difference of Two Squares

We know that:

The difference of two square formula.

This formula is used to factorise some algebraic expressions.

Applying the difference of two squares formula to x squared minus 16.


Example 5

Factorise (factorize) the following four expressions.

Solution:

Applying the difference of two squares formula to factorise (factorize) four expressions.


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

Factorise (factorize) the following two expressions.

Solution:

Take out the common factor and then apply the difference of two squares formula to factorise (factorize) two expressions.


Example 7

Factorise (factorize) the following three expressions.

Solution:

Take out the common factor and then apply the difference of two squares formula to factorise (factorize) three expressions.

Note the use of brackets.


Key Terms

difference of two squares (DOTS)


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