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WAEC Mathematics 2016 Objective — Question 15

Question 15 of 50 from the West African Examinations Council (WAEC) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

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15. Factorize: (2x+3y)²-(x-4y)². A. (3x-y)(x+7y) B. (3x+y)(2x-7) C. (3x+y)(x-7y) D. (3x-y)(2x+7y)

  • A. (3x-y)(x+7y)Correct
  • B. (3x+y)(2x-7)
  • C. (3x+y)(x-7y)
  • D. (3x-y)(2x+7y)

Explanation

Difference of two squares: [(2x+3y)-(x-4y)][(2x+3y)+(x-4y)] = (x+7y)(3x-y).

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