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Which of the following is NOT a factor of 12\(^{4}\) - 5\(^{4}\)?

Mathematics
JAMB 1980

Which of the following is NOT a factor of 12\(^{4}\) - 5\(^{4}\)?

  • A. 7
  • B. 13
  • C. 17
  • D. 49
  • E. 169
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Correct Answer: Option D
Explanation

124 - 54 = (122)2 - (52)2

= (122 + 52) x (122 - 52)

(144 + 25)(144 - 25)

= (169)(119)

Factors of above 169, 17, 13, 7

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