4024/11 Oct/Nov 2020, Question 2: Factorising by Grouping
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Factorise two algebraic expressions: a difference of two squares in p, and a four-term expression in x and y by grouping.
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Part (a) · 1 mark
Factorise 4p² − 1.
- 14p² − 1 = (2p)² − 1² (difference of two squares)
- 2= (2p − 1)(2p + 1)
Answer(2p − 1)(2p + 1)
Part (b) · 2 marks
Factorise 10xy − 12 + 15x − 8y by grouping terms.
- 110xy − 8y + 15x − 12
- 2= 2y(5x − 4) + 3(5x − 4)
- 3= (5x − 4)(2y + 3)
Answer(5x − 4)(2y + 3)
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Also searched as: 4024/11/O/N/20 · 4024_w20_qp_11 · 4024 w20 11 · question 2.
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