0580/21 Oct/Nov 2023, Question 5: Simple Factorising
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
Factorise two algebraic expressions completely: one with terms 42mk and 35m, and one involving h² − 144.
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Part (a) · 2 marks
Factorise 42mk − 35m fully by taking out the highest common factor.
- 1HCF of 42mk and 35m is 7m
- 242mk − 35m = 7m(6k − 5)
Answer7m(6k − 5)
Part (b) · 1 mark
Factorise the difference of two squares h² − 144 completely.
- 1Difference of two squares: h² − 12²
- 2= (h + 12)(h − 12)
Answer(h + 12)(h − 12)
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Also searched as: 0580/21/O/N/23 · 0580_w23_qp_21 · 0580 w23 21 · question 5.
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