(m2+n2)÷(m+n)(m^2+n^2) \div (m+n)

12+221^2 + 2^2 is not divisible by 1+2.1+2.
22+322^2 + 3^2 is not divisible by 2+3.2+3.
32+423^2 +4^2 is not divisible by 3+4.3+4.
42+524^2 + 5^2 is not divisible by 4+5.4+5.
52+625^2 + 6^2 is not divisible by 5+6.5+6.

True or False?

If mm and nn are consecutive positive integers, then m2+n2m^2 + n^2 is never divisible by m+nm+n.

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