Maths · GCSE · Algebra

Expanding three or more brackets

gcse-math-a4eFree2:09Heddy Score 2 of 7, below the standard

Plays from youtube-nocookie.com. No YouTube cookies until you press play.

What you need to know

  • Expand two brackets first, then multiply by the third.
  • Multiply every term by every term.
  • Collect like terms to simplify.

In this clip

0:52–2:35Fractional indicesmh6
2:35–5:48Upper and lower bounds in calculationsgcse-math-n16b
5:48–8:53Recurring decimals to fractionsmh7
8:53–11:45Compound interestmh12
11:45–15:36Calculating with surds and rationalising denominatorsgcse-math-n8d
21:12–23:21Expanding three or more bracketsgcse-math-a4e
23:21–25:13Factorising harder quadraticsgcse-math-a4f
25:13–28:12Rearranging multi-step formulaemh10
28:12–31:35nth term of a quadratic sequencegcse-math-a25b
31:35–33:20Completing the squaregcse-math-a18d
33:20–38:02Simultaneous equations: one linear, one quadraticgcse-math-a19c
38:02–41:13Quadratic inequalities and set notationgcse-math-a22c
41:13–46:22Inequalities on a graphgcse-math-a22b
46:22–50:03The quadratic formulagcse-math-a18e
50:03–55:08Algebraic fractionsgcse-math-a4g
55:08–56:17Inverse functionsgcse-math-a7c
56:17–58:41Composite functionsgcse-math-a7d
62:37–66:24Transforming graphsgcse-math-a13
66:24–69:52Algebraic proofgcse-math-a6c
72:18–76:08Tangent to a circlegcse-math-a16b
78:44–82:08Volume of pyramids, cones and spheresgcse-math-g17b
82:08–90:16Similar shapes: areas and volumesgcse-math-g19b
90:16–93:48Circle theorems: anglesgcse-math-g10a
96:21–101:17The sine rulegcse-math-g22a
101:17–105:53The cosine rulegcse-math-g22b
108:44–115:29Vector proofsgcse-math-g25b
117:57–122:03Box plotsgcse-math-s4c
122:03–126:44Cumulative frequency graphsgcse-math-s3b
126:44–131:51Histogramsgcse-math-s3a
163:59–167:41Dependent eventsgcse-math-p8b
Also coversCalculating in standard formm48
Also coversReverse percentagesm52
Also coversIterationgcse-math-a20
Also coversPerpendicular linesgcse-math-a9d
Also coversComposite solids and frustumsgcse-math-g17d
Also coversArea of any trianglegcse-math-g23
Also coversArcs & sectorsmh14
Also coversThe product rule for countinggcse-math-n5b
Also coversVenn diagrams for probabilitym157
Also coversArea under a graphgcse-math-a15b
Heddy Score2/7, Below the standard
  • Trusted source · passed. The creator's own upload, live and playable here.
  • On the map · not judged yet. A teacher watched it: it mainly teaches this map topic.
  • Spec-true · not judged yet. Accurate, and right for the current UK specification.
  • Focused · passed. One idea, short enough to watch in one go.
  • Accessible · not judged yet. Good captions, clear sound and pictures.
  • Safe for children · not judged yet. Right for 11 to 16 year olds, with no sales pitch.
  • Proven · not judged yet. Earned from our students: they learn from it, find it helpful and watch it to the end.
★ passed · ☆ pending · ✕ failed
Our students

Not enough students yet

Our own students' answers. These are what move ★7 Proven.
How the Heddy Score works

Why we picked it

Long Higher-only revision video for grades 6–9; use chapter by chapter with Year 11 Higher students.

The GCSE Maths Tutor on YouTubechecked 2026-10-16