4024/12 Oct/Nov 2023, Question 20: Factorising by Grouping
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Factorise two algebraic expressions: a four-term expression in c, d, e, and a difference of two squared terms in v and t.
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Part (a) · 2 marks
Factorise 2cd + ce − 6d − 3e by grouping terms.
- 1c(2d + e) − 3(2d + e)
- 2= (c − 3)(2d + e)
Answer(c − 3)(2d + e)
Part (b) · 2 marks
Factorise 3v² − 27t² fully.
- 13(v² − 9t²)
- 2Difference of two squares: v² − 9t² = (v − 3t)(v + 3t)
- 3= 3(v − 3t)(v + 3t)
Answer3(v − 3t)(v + 3t)
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Also searched as: 4024/12/O/N/23 · 4024_w23_qp_12 · 4024 w23 12 · question 20.
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