Child's play

4 1 16 1 4 16 41^{16}-14^{16} is a multiple of which of the following numbers?

1845 1584 1854 1485

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1 solution

Puneet Pinku
May 1, 2016

The question is just based on the simple application of an algebraic identity x^{2}-y^{2}=(x+y)(x-y). The 1485 is the product of the x+y and x-y terms obtained in the factorization of the given expression.

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