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4MA1/2FR Jun 2018, Question 19: Expand and Simplify

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 6 marks

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The question, in short

Three algebra tasks: expand and simplify two expressions, then factorise an expression fully.

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

Part (a) · 2 marks

Expand and simplify 3(c − 7) + 2(3c + 4).

  1. 13(c − 7) = 3c − 21
  2. 22(3c + 4) = 6c + 8
  3. 33c − 21 + 6c + 8 = (3c + 6c) + (−21 + 8)
  4. 49c − 13

Answer9c − 13

Part (b) · 2 marks

Expand and simplify (x + 7)(x − 2).

  1. 1(x + 7)(x − 2) = x² − 2x + 7x − 14
  2. 2x² + 5x − 14

Answerx² + 5x − 14

Part (c) · 2 marks

Factorise fully 28y² − 21y.

  1. 1Factorise 28y² − 21y
  2. 2Common factor of 7 and y
  3. 37y × 4y = 28y²
  4. 47y × (−3) = −21y
  5. 57y(4y − 3)

Answer7y(4y − 3)

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