If \(x\) and \(y\) are positive integers, is \(x^{16} - y^8 + 345y^2\) divisible by \(15?\)

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If \(x\) and \(y\) are positive integers, is \(x^{16} - y^8 + 345y^2\) divisible by \(15?\)

(1) \(x\) is a multiple of \(25,\) and \(y\) is a multiple of \(20.\)
(2) \(y = x^2\)

Answer: B

Source: GMAT Club Tests