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4024/11 May/Jun 2023, Question 22: Factorising by Grouping

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Factorise two algebraic expressions: a four-term expression in x and y, and a difference of two squares in a and b.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 2 marks

Factorise 7y + 2xy − 6x − 21, a four-term expression, by grouping.

  1. 1y(7 + 2x) − 3(2x + 7)
  2. 2= (7 + 2x)(y − 3)

Answer(7 + 2x)(y − 3)

Part (b) · 2 marks

Factorise 3a² − 12b² fully, taking out common factors and using a difference of squares.

  1. 13(a² − 4b²)
  2. 2= 3(a + 2b)(a − 2b)

Answer3(a + 2b)(a − 2b)

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Also searched as: 4024/11/M/J/23 · 4024_s23_qp_11 · 4024 s23 11 · question 22.
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