JAMB - Mathematics (1980 - No. 4)

Which of the following is NOT a factor of 12\(^{4}\) - 5\(^{4}\)?
7
13
17
49
169

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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