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Let x, y and z be distinct integers, that are odd and positive. Which one of the following statements cannot be true?
$$xyz^2$$ is odd
$$(x-y)^2z$$ is even
$$(x+y-z)^2(x+y)$$ is even
$$(x-y)(y+z)(x+y-z)$$ is odd
In option d), x-y is even. So, the product of the three terms is even. So, d) cannot be true.
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