AQA · Mathematics · 8300
GCSE Maths: Factorisation
Algebra · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Factorisation (Corbettmaths Video 117), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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What is factorisation?
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The process of expressing an algebraic expression as a product of its common factors.
Factorise 3y + 15
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3(y + 5)
Factorise 4w − 6
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2(2w − 3)
Factorise 15y + 20
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5(3y + 4)
Why is 11(2x + 3) an incorrect factorisation of 22x − 33?
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The sign inside the bracket is wrong; it should be 11(2x − 3) because 22x minus 33, not plus.
Factorise 27x − 45
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9(3x − 5)
Factorise fully 2x² + 10x
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2x(x + 5)
Factorise fully 9y² + 6y
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3y(3y + 2)
Why is 2(4x² − 6x) an incorrect full factorisation of 8x² − 12x?
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It is not fully factorised because 4x² − 6x still has a common factor of 2x. The full factorisation is 4x(2x − 3).
Factorise fully 24y² − 18y
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6y(4y − 3)
Factorise fully 20a²c + 30ac
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10ac(2a + 3)
Factorise completely 8ap + 12cp − 4p²
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4p(2a + 3c − p)
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