Is the last digit of integer \(x^2 - y^2\) a zero?

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Is the last digit of integer \(x^2 - y^2\) a zero?

(1) \(x - y\) is an integer divisible by \(30.\)
(2) \(x + y\) is an integer divisible by \(70.\)

Answer: C

Source: GMAT Club Tests