(m + n)^4 = m^2 n^2 + m^2 + n^2 + 6mn
Source: MEMO 2009, problem 7, team competition
October 1, 2009
number theory proposednumber theory
Problem Statement
Find all pairs , of integers which satisfy the equation
(m \plus{} n)^4 \equal{} m^2n^2 \plus{} m^2 \plus{} n^2 \plus{} 6mn.