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Mathematics·Algebra·procedural

Expanding Double Brackets

Expand products of two or more binomials, e.g., (x + 3)(x - 2) = x² + x - 6, using the grid method or FOIL; simplify the result by collecting like terms

Suggested ages 13–14

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Evidence of understanding

  • Expand the product of two binomials using a systematic method (grid or FOIL)
  • Collect like terms after expansion to simplify the result
  • Expand products involving negative terms correctly

Assessment prompt

Can Expanding Double Brackets multiply out two brackets like (x + 3)(x − 2) and collect the terms to get x² + x − 6?

Standards alignment

KS3.Maths.Alg.4dGB · uk-nc-2013

Simplify Expressions: Expanding Binomials

The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3