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0580/12 May/Jun 2022, Question 20: Expand and Simplify

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 3 marks

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The question, in short

Simplify a linear expression in a and b, then factorise a two-term quadratic in x and y.

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

Part (a) · 2 marks

Expand 3(2a − b) − b and collect like terms to simplify.

  1. 13(2a − b) − b = 6a − 3b − b
  2. 2= 6a − 4b

Answer6a − 4b

Part (b) · 1 mark

Factorise x² − 8xy by taking out the common factor.

  1. 1x² − 8xy = x(x − 8y)

Answerx(x − 8y)

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Also searched as: 0580/12/M/J/22 · 0580_s22_qp_12 · 0580 s22 12 · question 20.
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