Assuming that \(p, q\) and \(r\) are positive integers, show that

\[(p+q)(q+r)(r+p)\]
is even.

Assuming that \(p, q\) and \(r\) are positive integers, show that

\[(p+q)(q+r)(r+p)\]
is even.

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## Comments

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TopNewestIf at least two out of the three numbers are even or odd(since their sum will be even), the question is proved. But in any three numbers, at least two numbers will be either even or odd. – Svatejas Shivakumar · 4 months, 3 weeks ago

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– Jesse Nieminen · 4 months, 3 weeks ago

Yep.Log in to reply