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4024/12 May/Jun 2023, Question 20: Expanding Two Brackets

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Expand and simplify the product (4x − y)(2x + 5y), then simplify the expression (x¹²/8)^(2/3).

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Part (a) · 2 marks

Multiply out the two brackets (4x − y)(2x + 5y) and collect like terms to give a simplified expansion.

  1. 1(4x − y)(2x + 5y) = 8x² + 20xy − 2xy − 5y²
  2. 2= 8x² + 18xy − 5y²

Answer8x² + 18xy − 5y²

Part (b) · 2 marks

Simplify (x¹²/8)^(2/3), applying the power to both the x term and the 8.

  1. 1(x¹²)^(2/3) = x^(12 × 2/3) = x⁸
  2. 28^(2/3) = (∛8)² = 2² = 4
  3. 3(x¹²/8)^(2/3) = x⁸/4

Answerx⁸/4

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Also searched as: 4024/12/M/J/23 · 4024_s23_qp_12 · 4024 s23 12 · question 20.
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