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4MA1/1H Jun 2019, Question 3: Expanding Two Brackets

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 6 marks

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The question, in short

Simplify two index expressions, expand and simplify a product of two binomials, and fully factorise an algebraic expression with two variables.

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

Part (a) · 1 mark

Simplify e⁹ ÷ e⁵, giving the result as a single power.

  1. 1Subtract the powers: e⁹ ÷ e⁵ = e⁹⁻⁵ = e⁴

Answere⁴

Part (b) · 1 mark

Simplify (y²)⁸, writing the answer as a single power.

  1. 1Multiply the powers: (y²)⁸ = y²ˣ⁸ = y¹⁶

Answery¹⁶

Part (c) · 2 marks

Expand and simplify the product (x + 9)(x − 2).

  1. 1(x + 9)(x − 2) = x² − 2x + 9x − 18
  2. 2x² + 7x − 18

Answerx² + 7x − 18

Part (d) · 2 marks

Factorise 16c⁴p² + 20cp³ completely.

  1. 1The highest common factor of both terms is 4cp²
  2. 216c⁴p² = 4cp² × 4c³ and 20cp³ = 4cp² × 5p
  3. 34cp²(4c³ + 5p)

Answer4cp²(4c³ + 5p)

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