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Post-UTME Mathematics 2013 Objective — Question 18

Question 18 of 100 from the Post-UTME Screening (Post-UTME) Mathematics 2013 Objective paper, with the correct answer and a full explanation.

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Simplify (x²-1)/(x³-2x²-x+2)

  • A. 1/(x+2)
  • B. (x-1)/(x+1)
  • C. (x-1)/(x+2)
  • D. 1/(x-2)Correct

Explanation

Denominator factors as (x-2)(x-1)(x+1); numerator (x-1)(x+1) cancels, leaving 1/(x-2).

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