For some integer m, every even integer is of the form
\(m\)
\(m + 1\)
\(2m\)
\(2m + 1\)

An even integer is any number that can be divided by 2 without leaving a remainder.
If we take an integer \(m\), then \(2m\) is always even because it has a factor of 2.
The form \(m\) or \(m+1\) can represent any integer, not specifically even ones. The form \(2m+1\) is the general form of odd integers.
Therefore, every even integer can be written in the form \(2m\).