Difference of Squares Worksheet | Multiplying Special Case Binomials with Answer

A premium 4-page worksheet on the Difference of Two Squares identity (a+b)(a-b). Features expansions, missing term grids, and complex algebraic simplifications.

Develop your students’ algebraic fluency with this focused, highly structured worksheet on the Difference of Two Squares identity (a + b)(a - b) = a² - b²!

This resource scaffolds mastery from simple bracket expansion to multi-step algebraic manipulation, making it ideal for GCSE Higher and Foundation revision.

Resource Structure:
• Section 1 (Expansions): 12 carefully sequenced questions scaling up from basic single-variable brackets to complex terms involving coefficients, indices, fractions, and surds.
• Section 2 (Missing Terms): 8 algebraic puzzle frames where students find missing components, perfect for bridging the gap between expanding brackets and factoring quadratics.
• Section 3 (Expand & Simplify): 6 rigorous extension questions requiring multiple layers of expansion and simplification, challenging higher-tier students to think critically about polynomial structure.
• Worked Solutions: A comprehensive, step-by-step answer key is provided for painless marking, peer review, or independent cover work.

Topic Coverage:
• Expanding double brackets (Special Cases)
• Difference of Two Squares
• Algebraic simplification and indices
• GCSE Maths Higher & Foundation curriculum alignment