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0580/12 Feb/Mar 2022, Question 19: Expand and Simplify

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 5 marks

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The question, in short

Simplify three separate algebraic expressions: one with terms in f and g, one with powers of h, and one involving a square root and a zero power.

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

Part (a) · 2 marks

Simplify 5f + 7g − 8f + 2g by collecting like terms.

  1. 15f − 8f = −3f
  2. 27g + 2g = 9g
  3. 3= −3f + 9g

Answer−3f + 9g

Part (b) · 1 mark

Simplify h² × h⁵ using index laws.

  1. 1h² × h⁵ = h²⁺⁵ = h⁷

Answerh⁷

Part (c) · 2 marks

Simplify √(16x²) × 5y⁰, evaluating the root and the zero power.

  1. 1√(16x²) = 4x
  2. 2y⁰ = 1
  3. 34x × 5 × 1 = 20x

Answer20x

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Also searched as: 0580/12/F/M/22 · 0580_m22_qp_12 · 0580 m22 12 · question 19.
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