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Difference Of Two Squares Worksheet

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Help your students prepare for their Maths GCSE with this free difference of two squares worksheet of 33 questions and answers

  • Section 1 of the difference of two squares worksheet contains 20+ skills-based difference of two squares questions, in 3 groups to support differentiation
  • Section 2 contains 3 applied difference of two squares questions with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 3 foundation and higher level GCSE exam style questions 
  • Answers and a mark scheme for all questions are provided
  • Questions follow variation theory with plenty of opportunities for students to work independently at their own level
  • All questions created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

Download your free resource today

  • To receive this resource and regular emails with more free resources, blog posts and other Third Space updates, enter your email address and click below.

  • This field is for validation purposes and should be left unchanged.

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Difference of two squares at a glance

 

When a binomial quadratic expression involves a square term subtracting another square term we can factorise it by using the difference of two squares method. This involves two perfect squares being subtracted from each other. 

 

In order to use the difference of two square method, the square roots of both terms need to be found. These terms are then placed into a pair of double brackets with a plus sign in one and a minus sign in the other. This results in the algebraic expression being written as a product of two factors. Knowledge of square numbers, square roots and indices is useful when using this method.

 

Sometimes, before the difference of two squares method can be used, the expression will need to be factorised into a single bracket by finding a common factor of each of the coefficients and/or constants in the expression.

 

Factorising using the difference of two squares can be useful when solving quadratic equations or when simplifying algebraic fractions.

 

Looking forward, students can then progress to additional algebra worksheets, for example a expanding brackets worksheet or simultaneous equations worksheet.

 

GCSE maths worksheets

 

For more teaching and learning support on Algebra our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensure a personalised revision programme that raises grades and boosts confidence.


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