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Post-UTME Mathematics 2019 Objective — Question 50

Question 50 of 50 from the Post-UTME Screening (Post-UTME) Mathematics 2019 Objective paper, with the correct answer and a full explanation.

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Simplify [(2m-u)² - (m-2u)²] / (5m² - 5u²)

  • A. 3/5Correct
  • B. 2/5
  • C. (2m-u)/(5m+u)
  • D. (m-2u)/(m+5u)

Explanation

Expanding via difference of squares: (2m-u+m-2u)(2m-u-m+2u) = 3(m-u)(m+u); dividing by 5(m-u)(m+u) gives 3/5.

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