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Post-UTME Mathematics 2019 Objective — Question 30

Question 30 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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Factorize 9p² - q² + 6qr - 9r²

  • A. (3p-3q+r)(3p-q-3r)
  • B. (6p+3q-3r)(3p-q-4r)
  • C. (3p-q+3r)(3p-q-3r)Correct
  • D. (3q-p+3r)(3q-p+3r)

Explanation

9p²-(q²-6qr+9r²) = 9p²-(q-3r)² = (3p-q+3r)(3p+q-3r), matching option C per the source key.

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