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What are expanding and factorising?

What are expanding and factorising?

Area model showing a rectangle split into four parts for expanding (x + 4)(x + 3), with cells labelled x squared, 4x, 3x, and 12, then simplified to x squared plus 7x plus 12.

A quadratic expression has highest power 2, such as x2+6x+8x^2 + 6x + 8x2+6x+8. Expanding means removing brackets by multiplying, and factorising means writing the quadratic back as a product of brackets.

Expanding and Factorising Quadratics Lesson

  1. IGCSE
  2. /Maths
  3. /Expanding and Factorising Quadratics

Step-by-step lessons covering Edexcel IGCSE Maths Expanding and Factorising Quadratics for IGCSE Maths. Each lesson works through exam-style questions in Paper 1 and Paper 2 format. Build confidence with the shared Foundation-tier content first, since roughly 40% of Higher-tier marks are targeted at the grades 4–5 boundary that both tiers have in common.

Lessons

Reverse PercentagesStandard FormSpeed and DensityChanging the Subject of a FormulaExpanding and Factorising QuadraticsSolving QuadraticsDrawing Quadratic GraphsSimultaneous EquationsSimilar Shapes (Lengths)SOHCAHTOA (Trigonometry)Venn DiagramsData