Given \( P(n) = n^2(n+3)(n^2-1) \), which of the following correctly represents \( P(k+1) \)?

University of Ilorin MTH101 2025A past question

  1. \( (k+1)^2(k+4)(k^2 + 2k) \)
  2. \( (k+1)^2(k+1)(k^2-1) \)
  3. \( (k+1)^2(k+3)(k^2-1) \)
  4. \( (k+1)(k+2)(k+4) \)

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