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4MA1/2FR Jan 2020, Question 18: Index Laws with Letters

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

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The question, in short

Three short algebra tasks: expand a product, factorise an expression, and simplify a cubed term.

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

Part (a) · 1 mark

Expand e(3e − 5).

  1. 1e × 3e = 3e²
  2. 2e × (−5) = −5e
  3. 33e² − 5e

Answer3e² − 5e

Part (b) · 1 mark

Factorise 35 + 5f.

  1. 1Find common factor of 35 and 5f
  2. 25 is the common factor
  3. 335 ÷ 5 = 7
  4. 45f ÷ 5 = f
  5. 55(7 + f)

Answer5(7 + f)

Part (c) · 2 marks

Simplify (4pq²)³.

  1. 1(4pq²)³ = 4³ × p³ × (q²)³
  2. 24³ = 64
  3. 3(q²)³ = q⁶
  4. 464p³q⁶

Answer64p³q⁶

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