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0580/22 May/Jun 2022, Question 20: Difference of Two Squares

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 5 marks

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The question, in short

Factorise two algebraic expressions completely: a four-term expression in m, p and k, and a two-term expression in x and y.

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

Part (a) · 2 marks

Factorise 2m + 3p − 8km − 12kp completely by grouping terms.

  1. 12m + 3p − 8km − 12kp = (2m + 3p) − 4k(2m + 3p)
  2. 2= (2m + 3p)(1 − 4k)

Answer(2m + 3p)(1 − 4k)

Part (b) · 3 marks

Factorise 5x² − 20y² completely.

  1. 15x² − 20y² = 5(x² − 4y²)
  2. 2x² − 4y² = (x − 2y)(x + 2y) (difference of two squares)
  3. 3= 5(x − 2y)(x + 2y)

Answer5(x − 2y)(x + 2y)

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Also searched as: 0580/22/M/J/22 · 0580_s22_qp_22 · 0580 s22 22 · question 20.
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