New user? Sign up

Existing user? Sign in

Assuming that \(p, q\) and \(r\) are positive integers, show that \[(p+q)(q+r)(r+p)\] is even.

Note by Jesse Nieminen 7 months ago

Sort by:

If 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.

Log in to reply

Yep.

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

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.

Log in to reply

Yep.

Log in to reply