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Find the Difference of Two Squares

In this worksheet, students will practise using the difference of two squares.

'Find the Difference of Two Squares' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Number

Curriculum subtopic:   Understand Integer Powers/Real Roots

Difficulty level:  

Worksheet Overview

This activity is about working out the difference of two square numbers.


We use the fact that a2 - b2 factorises to (a + b) (a - b)


Using this fact, we can work out:

152 - 82 = (15 + 8) × (15 - 8) = 23 × 7 = 161


Being able to find the difference between two squares in this way can sometimes make it possible to do the calculation without the use of a calculator!


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