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studyAlgebra
CoreMaths revision

Factorisation

Reverse expansion by identifying common factors, difference of squares and quadratic structure.

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Focus points
✓Extract common factors completely.
✓Factorise quadratics.
✓Recognise special products.
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The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

target Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions
Question 1FluencyCore
Original practice · Free Online Revision
Skill · common factor
Factorise 18x³y − 24x²y² completely.
Question 2FluencyCore
Original practice · Free Online Revision
Skill · monic quadratic
Factorise x² + 9x + 20.
Question 3FluencyCore
Original practice · Free Online Revision
Skill · monic quadratic
Factorise x² − 4x − 21.
Question 4FluencyCore
Original practice · Free Online Revision
Skill · non-monic quadratic
Factorise 2x² + 7x + 3.
Question 5FluencyCore
Original practice · Free Online Revision
Skill · difference of squares
Factorise 25a² − 49b².
Question 6FluencyCore
Original practice · Free Online Revision
Skill · multi-stage factorisation
Factorise x³ − 4x.
Question 7ReasoningStretch
Original practice · Free Online Revision
Skill · factorisation proof
Show that n²+n is even for every integer n.
Question 8ChallengeStretch
Original practice · Free Online Revision
Skill · higher-degree factorisation
Factorise x⁴ − 16 completely over the integers.