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WAEC Mathematics 2018 Objective — Question 35

Question 35 of 50 from the West African Examinations Council (WAEC) Mathematics 2018 Objective paper, with the correct answer and a full explanation.

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Factorise completely the expression (x+2)² − (2x+1)²

  • A. (3x+2)(1−x)
  • B. (3x+2)(2x+1)
  • C. 3(x+2)²
  • D. 3(x+1)(1−x)Correct

Explanation

Using difference of two squares: [(x+2)+(2x+1)][(x+2)−(2x+1)] = (3x+3)(1−x)=3(x+1)(1−x).

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