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WAEC Mathematics 2016 Objective — Question 40

Question 40 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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40. Simplify (p-r)²-r² / (2p²-4pr). A. 1/2 B. p-2r C. 1/(p-2r) D. 2p/(p-2r)

  • A. 1/2Correct
  • B. p-2r
  • C. 1/(p-2r)
  • D. 2p/(p-2r)

Explanation

By difference of two squares, numerator=(p-r+r)(p-r-r)=p(p-2r); denominator=2p(p-2r); simplifies to 1/2.

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