MathsYears 9–11Algebra

Expanding double brackets

Learn Expanding double brackets for Years 9–11 pupils (ages 13–16). Free practice questions, lessons and worked examples — aligned to the UK National Curriculum.

What you'll learn

  1. 1

    To expand (x + 3)(x + 4), every term in the first bracket multiplies every term in the second — four products in total.

  2. 2

    A grid keeps it organised: x × x = x², x × 4 = 4x, 3 × x = 3x, 3 × 4 = 12.

  3. 3

    Expand (x + 2)(x + 5).

  4. 4

    Watch the signs. In (x − 3)(x + 2) the last product is −3 × 2 = −6, not +6.

  5. 5

    Expand (x − 3)(x + 2): x² + 2x − 3x − 6 = x² − x − 6.

  6. 6

    Expand (x + 4)(x − 1).

  7. 7

    Expand (x + 5)².

Practise Expanding double brackets with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 13–16. Aligned to the UK National Curriculum.

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