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0580/13 Oct/Nov 2022, Question 11: Expanding Two Brackets

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 5 marks

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The question, in short

Expand and simplify two expressions, one with single brackets and one product of two binomials, then factorise 8p − 3pq.

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

Part (ai) · 2 marks

Expand 3(2d − 3) + 4(d + 1) and simplify the result.

  1. 16d − 9 + 4d + 4
  2. 2= 10d − 5

Answer10d − 5 or 5(2d − 1)

Part (aii) · 2 marks

Expand and simplify the product (x − 4)(x − 3).

  1. 1x² − 3x − 4x + 12
  2. 2= x² − 7x + 12

Answerx² − 7x + 12

Part (b) · 1 mark

Factorise the expression 8p − 3pq.

  1. 18p − 3pq = p(8 − 3q)

Answerp(8 − 3q)

Stuck on a step? Read the free lesson: Expanding Two Brackets

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Also searched as: 0580/13/O/N/22 · 0580_w22_qp_13 · 0580 w22 13 · question 11.
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